Publications of Louis Kauffman

Allison Henrich and Louis H. Kauffman.  Unknotting unknots.  Amer. Math. Monthly, 121(5):379--390, 2014. MR3193721
Aaron Kaestner and Louis H. Kauffman.  Parity biquandles.  In Knots in Poland. III. Part 1, pages 131--151.  Polish Acad. Sci. Inst. Math., Warsaw, 2014. MR3220479
A. Kaestner and L. H. Kauffman.  Parity biquandles.  Fundamenta Mathematica, Banach Center Publications, Vol. 100.  2014.
A. Henrich and L. H. Kauffman.  Unknotting unknots.  Amer. Math. Monthly 121 (2014), no. 5, 379–390. .  2014.
Louis H. Kauffman .  Knot logic and topological quantum computing with majorana fermions.  In Logic and algebraic structures in quantum computing and information, pages 124 pages.  Cambridge University Press, 2014.
Louis H. Kauffman and Eiji Ogasa.  Local moves on products of knots.  To appear in Fund. Math. .  2014.
Vassily O. Manturov Louis H. Kauffman.  A graphical construction of the sl(3) invariant for virtual knots.  to appear in Quantum Topology.  2014.
Marius Buliga and Louis H. Kauffman.  Chemlambda, universality and self-multiplication.  To appear in Proceedings of Artificial Life Conference Summer 2014.  2014.
Louis H. Kauffman.  Infinite computations and the generic finite.  To appear in Applied Mathematics and Computation, Elsevier Pub.  2014.
Louis H. Kauffman and Samuel J. Lomonaco.  Quantum diagrams and quantum networks.  To appear in Proceedings of Spie Conference, Baltimore, May 2014.  2014.
John C. Amson and Louis H. Kauffman.  Scientific essays in honor of H. Pierre Noyes on the occasion of his 90-th birthday.  World Scientific, 2014. 373 pages, Volume 54 in the Series on Knots and Everything edited by L. H. Kauffman. 
Louis H. Kauffman.  Non-commutative worlds and classical contraints.  In Scientific essays in honor of H. Pierre Noyes on the occasion of his 90-th birthday, pages 169-201.  World Scientific, 2014.
Vassily Olegovich Manturov and Denis Petrovich Ilyutko.  Virtual knots, volume 51 of Series on Knots and Everything.  World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013. MR2986036
Louis H. Kauffman.  Knots and physics, volume 53 of Series on Knots and Everything.  World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013. MR3013186
Louis H. Kauffman and Slavik V. Jablan.  A note on amphicheiral alternating links.  J. Knot Theory Ramifications, 22(1):1250136, 8, 2013. MR3024020
Slavik Jablan, Louis H. Kauffman and Pedro Lopes.  On the maximum number of colors for links.  J. Knot Theory Ramifications, 22(3):1350013, 19, 2013. MR3048514
Louis H. Kauffman and Rama Mishra.  Nodal parity invariants of knotted rigid vertex graphs.  J. Knot Theory Ramifications, 22(4):1340002, 21, 2013. MR3055553
Louis H. Kauffman, Slavik Jablan, Ljiljana Radović and Radmila Sazdanović.  Reduced relative Tutte, Kauffman bracket and Jones polynomials of virtual link families.  J. Knot Theory Ramifications, 22(4):1340003, 12, 2013. MR3055554
Louis H. Kauffman.  An affine index polynomial invariant of virtual knots.  J. Knot Theory Ramifications, 22(4):1340007, 30, 2013. MR3055558
Lena C. Folwaczny and Louis H. Kauffman.  A linking number definition of the affine index polynomial and applications.  J. Knot Theory Ramifications, 22(12):1341004, 30, 2013. MR3149310
Louis H. Kauffman, Slavik Jablan, Ljiljana Radovic and Radmila Sazdanovic.  Reduced relative tutte, kauffman bracket and jones polynomials of virtual link families.  J. Knot Theory Ramifications 22 (2013), no. 4, 1340003, 12 pp. .  2013.
Louis H. Kauffman and Rama Mishra.  Nodal parity invariants of knotted rigid vertex graphs.  J. Knot Theory Ramifications 22 (2013), no. 4, 1340002, 21 pp. .  2013.
Louis H. Kauffman .  Knots and physics - fourth edition - 846 pages..  World Scientific , 2013. This fourth edition is re-editied and it contains a new article on Virtual Knot Theory and Khovanov Homology. 
Louis H. Kauffman .  An affine index polynomial invariant of virtual knots.  J. Knot Theory Ramifications 22 (2013), no. 4, 1340007, 30pp.  2013.
Lena C. Folwaczny and Louis H. Kauffman.  A linking number definition of the affine index polynomial and applications.  J. Knot Theory Ramifications 22 (2013), no. 12, 1341004, 30 pp.  2013.
Slavik Jablan, Louis H. Kauffman and Pedro Lopes.  On the maximum number of colors for links.  J. Knot Theory Ramifications, 22(3):19 pages, 2013.
Louis H. Kauffman and Slavik V. Jablan.  A note on amphicheiral alternating links.  J. Knot Theory Ramifications, 22(1):8 pages, 2013.
Louis H. Kauffman.  Remarks on Khovanov homology and the Potts model.  In Perspectives in analysis, geometry, and topology, pages 237--262.  Birkhäuser/Springer, New York, 2012. MR2884039
Louis H. Kauffman and Sofia Lambropoulou.  Hard unknots and collapsing tangles.  In Introductory lectures on knot theory, pages 187--247.  World Sci. Publ., Hackensack, NJ, 2012. MR2885236
Louis H. Kauffman.  Khovanov homology.  In Introductory lectures on knot theory, pages 248--280.  World Sci. Publ., Hackensack, NJ, 2012. MR2885237
Louis H. Kauffman, Sofia Lambropoulou, Slavik Jablan and Jozef H. Przytycki, editors.  Introductory lectures on knot theory, volume 46 of Series on Knots and Everything.  World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2012. MR2885246
Louis H. Kauffman.  Categorical pairs and the indicative shift.  Appl. Math. Comput., 218(16):7989--8004, 2012. MR2912723
Sundance Bilson-Thompson, Jonathan Hackett, Louis Kauffman and Yidun Wan.  Emergent braided matter of quantum geometry.  SIGMA Symmetry Integrability Geom. Methods Appl., 8:Paper 014, 43, 2012. MR2942825
Louis H. Kauffman.  Following knots down their energy gradients.  Symmetry, 4(2):276--284, 2012. MR2949130
Thomas Schulte-Herbrüggen, Raimund Marx, Amr Fahmy, Louis Kauffman, Samuel Lomonaco, Navin Khaneja and Steffen J. Glaser.  Control aspects of quantum computing using pure and mixed states.  Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 370(1976):4651--4670, 2012. MR2973612
Louis H. Kauffman.  Introduction to virtual knot theory.  J. Knot Theory Ramifications, 21(13):1240007, 37, 2012. MR2994594
Louis H. Kauffman and Sofia Lambropoulou.  A categorical model for the virtual braid group.  J. Knot Theory Ramifications, 21(13):1240008, 48, 2012. MR2994595
Aaron M. Kaestner and Louis H. Kauffman.  Parity, skein polynomials and categorification.  J. Knot Theory Ramifications, 21(13):1240011, 56, 2012. MR2994598
Louis H. Kauffman and Pedro Lopes.  The Teneva game.  J. Knot Theory Ramifications, 21(14):1250125, 17, 2012. MR3021763
Louis H. Kauffman.  Following knots down their energy gradients.  In Special issue of Symmetry entitled "Symmetry and Beauty of Knots". Symmetry 2012, 4, 276-284.  2012.
Louis H. Kauffman, Sofia Lambropoulou, Slavik Jablan and Jozef H. Przytycki.  Introductory lectures on knot theory (Lectures presented at ictp trieste).  World Scientific, 2012. Volume 46 in the Series on Knots and Everything. 
Louis H. Kauffman.  Khovanov homology.  In Introductory lectures in knot theory, pages 248-280.  World Scientific, 2012.
Louis H. Kaufman and Sofia Lambropoulou.  Hard unknots and collapsing tangles.  In Introductory lectures in knot theory, pages 187-247.  World Scientific, 2012.
Louis H. Kauffman.  Remarks on khovanov homology and the potts model.  In Perspectives in analysis, geometry, and topology: on the occasion of the 60th birthday of oleg viro (Progress in mathematics), pages 237-262.  Birkhäuser/Springer, New York, 2012.
Louis H. Kauffman.  Introduction to virtual knot theory.  JKTR, Vol. 21(No. 13):37 pages. DOI:10.1142, 2012.
Louis H. Kauffman and Aaron Kaestner.  Parity, skein polynomials and categorification.  J. Knot Theory Ramifications, 21(13):56, 2012.
Sundance Bilson-Thompson, Jonathan Hackett, Louis Kauffman and Wan Yidun.  Emergent braided matter of quantum geometry.  SIGMA, 8(014):DOI 10.3842/SIGMA.2012.014, 2012.
Louis H. Kauffman and Slavik V. Jablan.  A note on amphicheiral alternating links.  JKTR, Vol. 21(No. 14):8 pages, 2012.
Louis H. Kauffman and Pedro Lopes.  The Teneva game.  JKTR, Vol. 21(No. 14):17 pages, 2012.
Louis H. Kauffman.  The Russell operator.  Constructivist Foundations, 7(2):112-115, 2012.
Louis H. Kauffman.  Eigenforms, discrete processes and quantum processes.  IOP Science Journal of Physics: Conference Series, 361:doi:10.1088/1742-6596/361/1/012034, 2012. EmerQuM 11: Emergent Quantum Mechanics 2011 (Heinz von Foerster Congress). 
Louis H. Kauffman and Sofia Lambropoulou.  A categorical model for the virtual braid group.  JKTR, Vol. 21(No. 13):48 pages., 2012.
T. Schulte-Herbruggen, R. Marx, A. Fahmy, L. H. Kauffman, S. J. Lomonaco, N. Khaneja and S.Glaser.  Control aspects of quantum computing using pure and mixed states.  Philosophical Transactions of the Royal Society London Series A, Vol. 370(No. 1976):pages 4651–4670., 2012.
Louis H. Kauffman and Samuel J. Lomonaco.  Quantum algorithms for the jones polynomial and khovanov homology .  In quantum information and computation x - proceedings of spie, volume Vol. 8400 of, pages 15 pages.  Spie, 2012.
Louis H. Kauffman.  A quantum model for the Jones polynomial, Khovanov homology and generalized simplicial homology.  In Cross disciplinary advances in quantum computing, pages 75--94.  Amer. Math. Soc., Providence, RI, 2011. MR2768794
Louis Kauffman and David E. Radford.  Oriented quantum algebras and coalgebras, invariants of oriented $1$--$1$ tangles, knots and links.  In Cross disciplinary advances in quantum computing, pages 95--132.  Amer. Math. Soc., Providence, RI, 2011. MR2768795
H. A. Dye and Louis H. Kauffman.  Anyonic topological quantum computation and the virtual braid group.  J. Knot Theory Ramifications, 20(1):91--102, 2011. MR2777017
Louis H. Kauffman.  Topological quantum information, Khovanov homology and the Jones polynomial.  In Topology of algebraic varieties and singularities, pages 245--264.  Amer. Math. Soc., Providence, RI, 2011. MR2777823
Kumud Bhandari, H. A. Dye and Louis H. Kauffman.  Lower bounds on virtual crossing number and minimal surface genus.  In The mathematics of knots, pages 31--43.  Springer, Heidelberg, 2011. MR2777846
Heather Ann Dye, Louis Hirsch Kauffman and Vassily Olegovich Manturov.  On two categorifications of the arrow polynomial for virtual knots.  In The mathematics of knots, pages 95--124.  Springer, Heidelberg, 2011. MR2777848
Louis H. Kauffman.  Obituary: Professor Miki Wadati (1945--2011).  J. Knot Theory Ramifications, 20(10):1485--1486, 2011. MR2851717
Louis H. Kauffman and Sofia Lambropoulou.  A categorical structure for the virtual braid group.  Comm. Algebra, 39(12):4679--4704, 2011. MR2863460
L. H. Kauffman H. Dye and V. O. Manturov.  Chapter 4 - on two categorifications of the arrow polynomial for virtual knots.  In The mathematics of knots - theory and application, volume 1 of Contributions in Mathematical and Computational Sciences, pages 95-124.  Springer-Verlag, 2011.
L. H. Kauffman.  Topological quantum information, khovanov homology and the jones polynomial.  In Topology of algebraic varieties and singularities - conference in honor of anatoly libgober's 60th birthday, volume 538 of Contemporary Mathematics, pages 245-264.  American Mathematical Society, 2011.
Louis H. Kauffman.  Topological quantum information, virtual jones polynomials and khovanov homology.  New Journal of Physics, 13(125007):doi:10.1088/1367-2630/13/12/125007, November 2011.
Louis H. Kaufman.  Eigenforms and quantum physics.  Cybernetics and Human Knowing, Vol. 18(Nox. 3-4):pp. 111-121, 2011.
Louis H. Kauffman and Sofia Lambropoulou.  A categorical structure for the virtual braid group.  Communications in Algebra, Volume 39(12):4679-4704, 2011.
S. J. Lomonaco and L. H. Kauffman.  Quantizing braids and other mathematical structures: the general quantization procedure.  In Quantum information and computation ix, volume 8057 of Proceedings of Spie, pages 805702-1 -- 805702-14.  SPIE, 2011.
L. H. Kauffman and S. J. Lomonaco.  Quantizing knots graphs and groups..  In Quantum information and computation ix, volume 80507 of Proceedings of Spie, pages 80570T-1 -- 80570T-15.  SPIE, 2011.
Louis H. Kauffman, Simon King, Vassily Olegovich Manturov and Jozef H. Przytycki.  Preface [Proceedings of the conference held in honor of the 60th birthday of Oleg Yanovich Viro].  J. Knot Theory Ramifications, 19(2):v--ix, 2010. MR2647049
H. A. Dye and Louis H. Kauffman.  Virtual homotopy.  J. Knot Theory Ramifications, 19(7):935--960, 2010. MR2673693
Louis H. Kauffman and Samuel J. Lomonaco, Jr.  Topological quantum information theory.  In Quantum information science and its contributions to mathematics, pages 103--176.  Amer. Math. Soc., Providence, RI, 2010. MR2762147
Samuel J. Lomonaco and Louis H. Kauffman.  Quantum knots and mosaics.  In Quantum information science and its contributions to mathematics, pages 177--208.  Amer. Math. Soc., Providence, RI, 2010. MR2762148
Samuel J. Lomonaco and Louis H. Kauffman.  Quantum knots and lattices, or a blueprint for quantum systems that do rope tricks.  In Quantum information science and its contributions to mathematics, pages 209--276.  Amer. Math. Soc., Providence, RI, 2010. MR2762149
L. H. Kauffman and S. J. Lomonaco.  Quantum algorithms for the jones polynomial.  In Quantum information and computation viii - spie proceedings april 2010, volume 7702 of Proceedings of SPIE, pages 770203-1 to 770203-11.  SPIE, 2010.
L. H. Kauffman.  Reflexivity and foundations of physics.  In Search for fundamental theory - the vii-th interenational symposium honoring french mathematical physicist jean-pierre vigier, AIP Conference Proceedings, pages 48-89.  American Institute of Physics, 2010.
Louis H. Kauffman.  Knots and physics.  In Applications of knot theory, pages 81--120.  Amer. Math. Soc., Providence, RI, 2009. MR2508729
Louis H. Kauffman, Simon King, Vassily Olegovich Manturov and Jozef H. Przytycki.  Preface [Workshop on Invariants in Low Dimensional Topology, Vol. 1].  J. Knot Theory Ramifications, 18(6):v--ix, 2009. MR2542692
Louis H. Kauffman and Pedro Lopes.  Determinants of rational knots.  Discrete Math. Theor. Comput. Sci., 11(2):111--122, 2009. MR2549442
Sundance Bilson-Thompson, Jonathan Hackett and Louis H. Kauffman.  Particle topology, braids, and braided belts.  J. Math. Phys., 50(11):113505, 16, 2009. MR2567211
Louis H. Kauffman, Simon King, Vassily Olegovich Manturov and Jozef H. Przytycki.  Preface [Workshop on Invariants in Low Dimensional Topology, Vol. II].  J. Knot Theory Ramifications, 18(10):v--ix, 2009. MR2583798
H. A. Dye and Louis H. Kauffman.  Virtual crossing number and the arrow polynomial.  J. Knot Theory Ramifications, 18(10):1335--1357, 2009. MR2583800
Louis H. Kauffman.  An extended bracket polynomial for virtual knots and links.  J. Knot Theory Ramifications, 18(10):1369--1422, 2009. MR2583802
Mitchell A. Berger, Louis H. Kauffman, Boris Khesin, H. Keith Moffatt, Renzo L. Ricca and De Witt Sumners.  Lectures on topological fluid mechanics, volume 1973 of Lecture Notes in Mathematics.  Springer-Verlag, Berlin, 2009. MR2742580
L. H. Kauffman and S. J. Lomonaco, Jr.  Topology and quantum computing.  In Entanglement and decoherence, pages 87--156.  Springer, Berlin, 2009. MR2743634
Louis H. Kauffman and Sofia Lambropoulou.  Tangles, rational knots and DNA.  In Lectures on topological fluid mechanics, pages 99--138.  Springer, Berlin, 2009. MR2762377
Louis H. Kauffman.  Reflexivity and eigenform: the shape of process.  Constructivist Foundations, 4(23):121-137, 2009.
Louis H. Kauffman and Pedro Lopes.  On the minimum number of colors for knots.  Adv. in Appl. Math., 40(1):36--53, 2008. MR2380844
Shalom Eliahou, Frank Harary and Louis H. Kauffman.  Lune-free knot graphs.  J. Knot Theory Ramifications, 17(1):55--74, 2008. MR2395980
Yong Zhang and Louis H. Kauffman.  Topological-like features in diagrammatical quantum circuits.  Quantum Inf. Process., 7(1):3--32, 2008. MR2399592
Louis H. Kauffman and R. Bruce Richter.  A polynomial invariant for flat virtual links.  J. Knot Theory Ramifications, 17(5):521--528, 2008. MR2420021
Samuel J. Lomonaco and Louis H. Kauffman.  Quantum knots and mosaics.  Quantum Inf. Process., 7(2-3):85--115, 2008. MR2420814
Samuel J. Lomonaco and Louis H. Kauffman.  Quantum hidden subgroup algorithms: an algorithmic toolkit.  In Mathematics of quantum computation and quantum technology, pages 3--46.  Chapman & Hall/CRC, Boca Raton, FL, 2008. MR2422217
Louis H. Kauffman and Samuel J. Lomonaco.  Quantum computing and quantum topology.  In Mathematics of quantum computation and quantum technology, pages 409--514.  Chapman & Hall/CRC, Boca Raton, FL, 2008. MR2422230
Goong Chen, Louis Kauffman and Samuel J. Lomonaco, editors.  Mathematics of quantum computation and quantum technology, Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series.  Chapman & Hall/CRC, Boca Raton, FL, 2008. MR2431194
Louis H. Kauffman and Jo{\~a}o Faria Martins.  Invariants of welded virtual knots via crossed module invariants of knotted surfaces.  Compos. Math., 144(4):1046--1080, 2008. MR2441256
Louis H. Kauffman and Samuel J. Lomonaco, Jr.  The Fibonacci model and the Temperley-Lieb algebra.  Internat. J. Modern Phys. B, 22(29):5065--5080, 2008. MR2478554
Mo-Lin Ge, Louis H. Kauffman and Kang Xue.  Berry phase in Yang-Baxter approach related to entangled states and the Yang-Baxterization of braid relation for two-state anyon model.  In Topology and physics, pages 107--121.  World Sci. Publ., Hackensack, NJ, 2008. MR2503393
Louis H. Kauffman and Samuel J. Lomonaco, Jr.  Unitary representations of the Artin braid groups and quantum algorithms for colored Jones polynomials and the Witten-Reshetikhin invariant.  In Topology and physics, pages 172--194.  World Sci. Publ., Hackensack, NJ, 2008. MR2503396
L. H. Kauffman and S. J. Lomonaco, Jr.  Spin networks and quantum computation.  Bulg. J. Phys., 35(4):241--256, 2008. MR2518186
Louis H. Kauffman and Samuel J. Lomonaco, Jr.  Topological quantum computing and su(2) braid group representations.  ``Quantum Information and Quantum Computation VI", Proceedings of Spie, March 2008,edited by E.J. Donkor, A.R. Pirich and H.E. Brandt, Intl Soc. Opt. Eng.  2008.
Louis H Kauffman and Samuel J Lomonaco.  The fibonacci model and the temperley-lieb algebra..  International J. Modern Phys. B, Vol. 22, No. 29 (2008), 5065-5080.  2008.
Louis H Kauffman and Samuel J Lomonaco.  Quantum topology and quantum computing.  In Mathematics of quantum computation and quantum technology, pages 409 - 504.  Chapman and Hall/CRC Applied Mathematics and Nonlinear Science Series , 2008.
Louis H. Kauffman and Samuel J. Lomonaco Jr.  Spin networks and quantum computation.  In "lie theory and its applications in physics - proceedings of the vii international workshop, varna, bulgaria 18-24 june 2007", pages 225-239.  Heron Press Science Series , 2008.
Louis H. Kauffman.  Differential geometry in non-commutative worlds.  In Quantum gravity, pages 61--75.  Birkhäuser, Basel, 2007. MR2298384
Samuel J. Lomonaco, Jr.  Comments about Louis H. Kauffman: the story of Lou Kauffman and the positronic brain.  J. Knot Theory Ramifications, 16(3):v--vi, 2007. MR2320155
Louis H. Kauffman and Samuel J. Lomonaco, Jr.  $q$-deformed spin networks, knot polynomials and anyonic topological quantum computation.  J. Knot Theory Ramifications, 16(3):267--332, 2007. MR2320158
Louis H. Kauffman and S. Lambropoulou.  Unknots and DNA.  In Current developments in mathematical biology, pages 39--68.  World Sci. Publ., Hackensack, NJ, 2007. MR2325191
J. Scott Carter, Seiichi Kamada, Louis H. Kauffman, Akio Kawauchi and Toshitake Kohno, editors.  Intelligence of low dimensional topology 2006, volume 40 of Series on Knots and Everything.  World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2007. MR2352790
Louis H. Kauffman.  State models for knot polynomials---an introduction.  J. Knot Theory Ramifications, 16(7):899--928, 2007. MR2354267
Louis Kauffman.  Quantum topology and quantum information.  In Intelligence of low dimensional topology 2006, pages 123--131.  World Sci. Publ., Hackensack, NJ, 2007. MR2371717
Louis Kauffman and Sofia Lambropoulou.  The $L$-move and virtual braids.  In Intelligence of low dimensional topology 2006, pages 133--142.  World Sci. Publ., Hackensack, NJ, 2007. MR2371718
David Hrencecin and Louis H. Kauffman.  Biquandles for virtual knots.  J. Knot Theory Ramifications, 16(10):1361--1382, 2007. MR2384830
Louis H. Kauffman.  Pendulum traced curves and damped oscillations in the plane.  J. Knot Theory Ramifications, 16(10):1451--1457, 2007. MR2384835
Louis H. Kauffman, David E. Radford and Fernando J. O. Souza, editors.  Hopf algebras and generalizations, volume 441 of Contemporary Mathematics.  American Mathematical Society, Providence, RI, 2007. MR2385183
Louis H. Kauffman and Samuel J. Lomonaco, Jr.  Spin networks, quantum topology and quantum computation.  In Logic, language, information and computation, pages 248--263.  Springer, Berlin, 2007. MR2406232
Samuel J. Lomonaco, Jr. and Louis H. Kauffman.  Is Grover's algorithm a quantum hidden subgroup algorithm?.  Quantum Inf. Process., 6(6):461--476, 2007. MR2442530
Louis H Kauffman, Yong Zhang and Reinhard Werner.  Permutation and its partial transpose, ijqi, vol.5, no.4 (2007) pp. 469-507.  2007.
Louis H Kauffman and Samuel J Lomonaco.  Spin networks and anyonic topological computing ii, ``quantum information and quantum computation v", proceedings of spie, april 2007, edited by e.j. donkor, a.r. pirich and h.e. brandt.  pp. 64730U1-13, Volume 6573, Intl. Soc. Opt. Eng. (2007).  2007.
Louis H Kauffman and Yong Zhang.  Topological-like features in diagrammatical quantum circuits.  Quant.Inf.Proc.7:3-32,2008.  2007.
J. Scott Carter, Seiichi Kamada, H. Kauffman, Louis, Akio Kawauchi and Toshitake Khono, editors.  Intelligence of low dimensional topology 2006 - series on knots and everything, number 40.  World Scientific Publishing Company, 2007. Papers from the International Conference held at Hiroshima University, Hiroshima,July 22--26, 2006. 
Tomáš Liko and Louis H. Kauffman.  Knot theory and a physical state of quantum gravity.  Classical Quantum Gravity, 23(4):R63--R90, 2006. MR2205471
Gerald H. Thomas.  Geometry, language and strategy, volume 37 of Series on Knots and Everything.  World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2006. MR2222153
Louis H. Kauffman and Sofia Lambropoulou.  Virtual braids and the $L$-move.  J. Knot Theory Ramifications, 15(6):773--811, 2006. MR2253835
L. Kh. Kaufman and V. O. Manturov.  Virtual knots and links.  Tr. Mat. Inst. Steklova, 252(Geom. Topol., Diskret. Geom. i Teor. Mnozh.):114--133, 2006. MR2255973
Louis H. Kauffman.  Glafka-2004: non-commutative worlds.  Internat. J. Theoret. Phys., 45(8):1443--1470, 2006. MR2270578
Sofia Lambropoulou and Jozef H. Przytycki.  Preface [Selected papers from Knots in Washington XX. Part 2].  J. Knot Theory Ramifications, 15(8):v, 2006. MR2275089
Louis H. Kauffman and Sofia Lambropoulou.  Unknots and molecular biology.  Milan J. Math., 74:227--263, 2006. MR2278735
Louis H. Kauffman.  Topology and quantum information.  In Differential geometry and physics, pages 273--282.  World Sci. Publ., Hackensack, NJ, 2006. MR2327171
Louis H Kauffman and Sofia Lambropoulou.  From tangle fractions to dna, proceedings of the international workshop and seminar on topology in condensed matter physics, dresden, 16-23 june 2002..  2006.
Louis H Kauffman and Samuel J Lomonaco.  Spin networks and anyonic topological computing.  In ``Quantum Information and Quantum Computation IV, 6244:1--12, 2006.
Louis H. Kauffman.  Formal knot theory.  Dover Publications, 2006. Reprinting of expanded edition of book originally published by Princeton University Press (1983). 
Louis H. Kauffman and Nikolai A. Krylov.  Kernel of the variation operator and periodicity of open books.  Topology Appl., 148(1-3):183--200, 2005. MR2118964
H. A. Dye and Louis H. Kauffman.  Minimal surface representations of virtual knots and links.  Algebr. Geom. Topol., 5:509--535 (electronic), 2005. MR2153118
Samuel J. Lomonaco, Jr. and Louis H. Kauffman.  A continuous variable Shor algorithm.  In Coding theory and quantum computing, pages 97--108.  Amer. Math. Soc., Providence, RI, 2005. MR2170801
Louis H. Kauffman.  Knot diagrammatics.  In Handbook of knot theory, pages 233--318.  Elsevier B. V., Amsterdam, 2005. MR2179264
Louis H. Kauffman.  Reformulating the map color theorem.  Discrete Math., 302(1-3):145--172, 2005. MR2179641
Louis H. Kauffman.  The mathematics and physics of knots.  Rep. Progr. Phys., 68(12):2829--2857, 2005. MR2187074
Yong Zhang, Louis H. Kauffman and Mo-Lin Ge.  Yang-Baxterizations, universal quantum gates and Hamiltonians.  Quantum Inf. Process., 4(3):159--197, 2005. MR2187341
Louis H. Kauffman and Vassily O. Manturov.  Virtual biquandles.  Fund. Math., 188:103--146, 2005. MR2191942
Roger Fenn, Louis H. Kauffman and Vassily O. Manturov.  Virtual knot theory---unsolved problems.  Fund. Math., 188:293--323, 2005. MR2191949
H. A. Dye and Louis H. Kauffman.  Virtual knot diagrams and the Witten-Reshetikhin-Turaev invariant.  J. Knot Theory Ramifications, 14(8):1045--1075, 2005. MR2196647
Louis H. Kauffman.  Minimal flat knotted ribbons.  In Physical and numerical models in knot theory, pages 495--506.  World Sci. Publ., Singapore, 2005. MR2197954
Louis H. Kauffman.  Knots.  In Geometries of nature, living systems and human cognition, pages 131--202.  World Sci. Publ., Hackensack, NJ, 2005. MR2202267
Louis H Kauffman.  Teleportation topology.  Optics and Spectroscopy, 9:227--232, 2005.
Louis H Kauffman, Yong Zhang and Mo Lin Ge.  Universal quantum gate, yang-baxterization and hamiltonian.  International Journal of Quantum Information, 3(4):669-678, 2005.
Louis H. Kauffman and Sofia Lambropoulou.  On the classification of rational tangles.  Adv. in Appl. Math., 33(2):199--237, 2004. MR2074397
Roger Fenn, Mercedes Jordan-Santana and Louis Kauffman.  Biquandles and virtual links.  Topology Appl., 145(1-3):157--175, 2004. MR2100870
Louis H. Kauffman.  Non-commutative worlds.  New J. Phys., 6:173.1--173.47 (electronic), 2004. MR2115189
Louis H. Kauffman.  Vassiliev invariants and functional integration without integration.  In Stochastic analysis and mathematical physics (SAMP/ANESTOC 2002), pages 91--114.  World Sci. Publ., River Edge, NJ, 2004. MR2115931
Louis H. Kauffman.  Biologic. II.  In Woods Hole mathematics, pages 94--132.  World Sci. Publ., Hackensack, NJ, 2004. MR2123368
Louis H. Kauffman.  A self-linking invariant of virtual knots.  Fund. Math., 184:135--158, 2004. MR2128048
Louis H. Kauffman and Sofia Lambropoulou.  Virtual braids.  Fund. Math., 184:159--186, 2004. MR2128049
Louis H. Kauffman.  Fibonacci form and beyond.  Forma, 19(4):315--334 (electronic), 2004. MR2171710
Louis H Kauffman and Samuel J Lomonaco.  Braiding operators are universal quantum gates.  New Journal of Physics, 6:1--39, 2004.
Louis H Kauffman.  Non-commutative worlds (Quant-ph/0403012).  New Journal of Physics, 6:--, 2004.
Louis H Kauffman and Samuel J Lomonaco.  Quantum hidden subgroup algorithms - the devil is in the details.  In Proceedings of spie (2004), pages 137-141.  Intl. Soc. Opt. Eng., 2004.
Louis H Kauffman and Samuel J Lomonaco.  Quantum knots.  In Quantum information and computation ii -- proceedings of spie, 12 -14 april 2004, pages 268-284.  Intl. Soc. Opt. Eng., 2004.
Shalom Eliahou, Louis H. Kauffman and Morwen B. Thistlethwaite.  Infinite families of links with trivial Jones polynomial.  Topology, 42(1):155--169, 2003. MR1928648
Louis H. Kauffman and David Radford.  Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links.  In Diagrammatic morphisms and applications (San Francisco, CA, 2000), pages 113--140.  Amer. Math. Soc., Providence, RI, 2003. MR1973514
Louis H. Kauffman, Masahico Saito and Michael C. Sullivan.  Quantum invariants of templates.  J. Knot Theory Ramifications, 12(5):653--681, 2003. MR1999637
David Hrencecin and Louis H. Kauffman.  On filamentations and virtual knots.  Topology Appl., 134(1):23--52, 2003. MR2005847
Louis H. Kauffman and Sofia Lambropoulou.  On the classification of rational knots.  Enseign. Math. (2), 49(3-4):357--410, 2003. MR2028021
Louis Kauffman and Robin Thomas.  Temperley-Lieb algebras and the four-color theorem.  Combinatorica, 23(4):653--667, 2003. MR2046828
Louis H Kauffman and Samuel J Lomonaco.  Continuous quantum hidden subgroup algroithms .  In Quantum information and computation - spie proceedings, 21-22 april, 2003, volume 5105 of, pages pp. 51--58..  Intl. Soc. Opt. Eng., 2003.
J. S. Birman, C. McA. Gordon, G. T. Jin, L. H. Kauffman, A. Kawauchi, K. H. Ko, J. P. Levine and Y. Matsumoto, editors.  Knots 2000 Korea. Vol. 1.  World Scientific Publishing Co. Pte. Ltd., Singapore, 2002. MR1905684
J. S. Birman, G. T. Jin, A. Kawauchi, J. P. Levine, C. McA. Gordon, L. H. Kauffman, Y. Matsumoto and K. H. Ko, editors.  Knots 2000 Korea. Vol. 2.  World Scientific Publishing Co. Pte. Ltd., Singapore, 2002. MR1915489
Yumei Dang, Louis H. Kauffman and Daniel Sandin.  Hypercomplex iterations, volume 17 of Series on Knots and Everything.  World Scientific Publishing Co. Inc., River Edge, NJ, 2002. Distance estimation and higher dimensional fractals, With 1 CD-ROM (Windows, Macintosh).  MR1922600
Louis H. Kauffman.  Quantum topology and quantum computing.  In Quantum computation: a grand mathematical challenge for the twenty-first century and the millennium (Washington, DC, 2000), pages 273--303.  Amer. Math. Soc., Providence, RI, 2002. MR1922903
J. S. Birman, G. T. Jin, C. McA. Gordon, L. H. Kauffman, A. Kawauchi, J. P. Levine, K. H. Ko and Y. Matsumoto, editors.  Knots 2000 Korea. Vol. 3.  World Scientific Publishing Co. Pte. Ltd., Singapore, 2002. MR1942428
Louis H. Kauffman.  Quantum computing and the Jones polynomial.  In Quantum computation and information (Washington, DC, 2000), pages 101--137.  Amer. Math. Soc., Providence, RI, 2002. MR1947335
Samuel J. Lomonaco, Jr. and Louis H. Kauffman.  Quantum hidden subgroup algorithms: a mathematical perspective.  In Quantum computation and information (Washington, DC, 2000), pages 139--202.  Amer. Math. Soc., Providence, RI, 2002. MR1947336
Louis H. Kauffman and Sofia Lambropoulou.  Classifying and applying rational knots and rational tangles.  In Physical knots: knotting, linking, and folding geometric objects in $\mathbb R^ 3$ (Las Vegas, NV, 2001), pages 223--259.  Amer. Math. Soc., Providence, RI, 2002. MR1953344
Louis H. Kauffman.  Biologic.  In Physical knots: knotting, linking, and folding geometric objects in $\mathbb R^ 3$ (Las Vegas, NV, 2001), pages 313--340.  Amer. Math. Soc., Providence, RI, 2002. MR1953348
Louis H. Kauffman and Samuel J. Lomonaco, Jr.  Quantum entanglement and topological entanglement.  New J. Phys., 4:73.1--73.18 (electronic), 2002. MR1963025
Louis H. Kauffman.  Time, imaginary value, paradox, sign and space.  In Computing anticipatory systems (Liège, 2001), pages 146--159.  Amer. Inst. Phys., Melville, NY, 2002. MR2009018
Louis H Kauffman and Hector Sabelli.  Mathematical bios.  Kybernetes, 31:1418--1428, 2002.
Louis H Kauffman and Maria E Borelli.  The brasilian knot trick, in ``puzzlers' tribute" edited by david wolfe and tom rogers, a. k. peters pub..  A. K. Peters, 2002.
Louis H. Kauffman.  On the map theorem.  Discrete Math., 229(1-3):171--184, 2001. MR1815605
Louis H. Kauffman.  Functional integration, Kontsevich integral and formal integration.  J. Korean Math. Soc., 38(2):437--468, 2001. MR1817630
C. McA. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou and J. H. Przytycki, editors.  Knots in Hellas '98. Vol. 2.  World Scientific Publishing Co. Pte. Ltd., Singapore, 2001. MR1822488
C. McA. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou and J. H. Przytycki, editors.  Knots in the Hellas '98. Vol. 3.  World Scientific Publishing Co. Pte. Ltd., Singapore, 2001. MR1839692
Louis H. Kauffman.  Knots and physics, volume 1 of Series on Knots and Everything.  World Scientific Publishing Co. Inc., River Edge, NJ, 2001. MR1858113
Louis Kauffman and David E. Radford.  Oriented quantum algebras, categories and invariants of knots and links.  J. Knot Theory Ramifications, 10(7):1047--1084, 2001. MR1867109
L. H. Kauffman.  Vassiliev invariants and functional integration.  In Fluctuating paths and fields, pages 157--170.  World Sci. Publ., River Edge, NJ, 2001. MR1868083
Louis H. Kauffman and David E. Radford.  Oriented quantum algebras and invariants of knots and links.  J. Algebra, 246(1):253--291, 2001. MR1872620
Louis H. Kauffman.  Detecting virtual knots.  Atti Sem. Mat. Fis. Univ. Modena, 49(suppl.):241--282, 2001. Dedicated to the memory of Professor M. Pezzana (Italian).  MR1881100
Louis H. Kauffman.  An introduction to knot theory.  In An introduction to the geometry and topology of fluid flows (Cambridge, 2000), pages 77--104.  Kluwer Acad. Publ., Dordrecht, 2001. MR1999082
Louis H. Kauffman.  Knots and physics.  World Scientific, 2001. Third Edition of book published originally in 1991. 
Louis Kauffman and David E. Radford.  A separation result for quantum coalgebras with an application to pointed quantum coalgebras of small dimension.  J. Algebra, 225(1):162--200, 2000. MR1743656
Louis H. Kauffman.  Knot theory and the heuristics of functional integration.  Phys. A, 281(1-4):173--200, 2000. MR1777385
Louis H. Kauffman.  Three-dimensional topology and quantum physics.  In Geometry at work, pages 162--173.  Math. Assoc. America, Washington, DC, 2000. MR1782653
Louis Kauffman and David E. Radford.  Quantum algebras, quantum coalgebras, invariants of $1\text{-}1$ tangles and knots.  Comm. Algebra, 28(11):5101--5156, 2000. MR1785491
Louis H. Kauffman and David E. Radford.  On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras.  In New trends in Hopf algebra theory (La Falda, 1999), pages 177--194.  Amer. Math. Soc., Providence, RI, 2000. MR1800712
C. McA. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou and J. H. Przytycki, editors.  Knots in Hellas '98, volume 24 of Series on Knots and Everything.  World Scientific Publishing Co. Inc., River Edge, NJ, 2000. MR1865695
Louis H. Kauffman.  A survey of virtual knot theory.  In Knots in Hellas '98 (Delphi), pages 143--202.  World Sci. Publ., River Edge, NJ, 2000. MR1865707
Louis H. Kauffman and David E. Radford.  Quantum algebra structures on $n\times n$ matrices.  J. Algebra, 213(2):405--436, 1999. MR1673463
Frank Harary and Louis H. Kauffman.  Knots and graphs. I. Arc graphs and colorings.  Adv. in Appl. Math., 22(3):312--337, 1999. MR1675756
David De Wit, Jon R. Links and Louis H. Kauffman.  On the Links-Gould invariant of links.  J. Knot Theory Ramifications, 8(2):165--199, 1999. MR1687549
David De Wit, Jon R. Links and Louis H. Kauffman.  An invariant of knots and links via $U_ q[{\rm gl}(2\vert 1)]$.  In Group22: Proceedings of the XXII International Colloquium in Group Theoretical Methods in Physics (Hobart, 1998), pages 407--412.  Int. Press, Cambridge, MA, 1999. MR1689947
Louis H. Kauffman.  Combinatorics and topology---Francois Jaeger's work in knot theory.  Ann. Inst. Fourier (Grenoble), 49(3):927--953, 1999. MR1703432
J. Scott Carter, Louis H. Kauffman and Masahico Saito.  Structures and diagrammatics of four-dimensional topological lattice field theories.  Adv. Math., 146(1):39--100, 1999. MR1706684
Louis H. Kauffman.  Virtual knot theory.  European J. Combin., 20(7):663--690, 1999. MR1721925
Louis H. Kauffman.  Right integrals and invariants of three-manifolds.  In Proceedings of the Kirbyfest (Berkeley, CA, 1998), volume 2 of Geom. Topol. Monogr., pages 215--232 (electronic).  Geom. Topol. Publ., Coventry, 1999. MR1734410
Louis H. Kauffman.  Knots and statistical mechanics.  Chaos Solitons Fractals, 9(4-5):599--621, 1998. MR1628745
Louis H. Kauffman.  Spin networks and the bracket polynomial.  In Knot theory (Warsaw, 1995), pages 187--204.  Polish Acad. Sci., Warsaw, 1998. MR1634456
Louis H. Kauffman.  Spin networks and topology.  In The geometric universe (Oxford, 1996), pages 277--289.  Oxford Univ. Press, Oxford, 1998. MR1634519
Louis H. Kauffman, David Radford and Stephen Sawin.  Centrality and the KRH invariant.  J. Knot Theory Ramifications, 7(5):571--624, 1998. MR1637585
Dror Bar-Natan, Jason Fulman and Louis H. Kauffman.  An elementary proof that all spanning surfaces of a link are tube-equivalent.  J. Knot Theory Ramifications, 7(7):873--879, 1998. MR1654637
Louis H. Kauffman, Milana Huang and Robert P. Greszczuk.  Self-repelling knots and local energy minima.  In Topology and geometry in polymer science (Minneapolis, MN, 1996), pages 29--36.  Springer, New York, 1998. MR1655034
Louis H. Kauffman.  Noncommutativity and discrete physics.  Phys. D, 120(1-2):125--138, 1998. MR1679868
A. Stasiak, V. Katritch and L. H. Kauffman, editors.  Ideal knots, volume 19 of Series on Knots and Everything.  World Scientific Publishing Co. Inc., River Edge, NJ, 1998. MR1702019
Robert P. Grzeszczuk, Milana Huang and Louis H. Kauffman.  Physically-based stochastic simplification of mathematical knots.  In Ideal knots, pages 183--205.  World Sci. Publ., River Edge, NJ, 1998. MR1702031
Louis H. Kauffman.  Fourier knots.  In Ideal knots, pages 364--373.  World Sci. Publ., River Edge, NJ, 1998. MR1702039
Louis H. Kauffman.  Witten's integral and the Kontsevich integral.  In Particles, fields, and gravitation (łód\'z, 1998), pages 368--381.  Amer. Inst. Phys., Woodbury, NY, 1998. MR1765517
Louis H. Kauffman.  Invariants of links and three-manifolds via Hopf algebras.  In Geometry and physics (Aarhus, 1995), pages 471--479.  Dekker, New York, 1997. MR1423188
Louis H. Kauffman.  Knot theory and statistical mechanics.  In Proceedings of the Conference on Exactly Soluble Models in Statistical Mechanics: Historical Perspectives and Current Status (Boston, MA, 1996), volume 11 of, pages 39--49.  1997. MR1435054
Jay R. Goldman and Louis H. Kauffman.  Rational tangles.  Adv. in Appl. Math., 18(3):300--332, 1997. MR1436484
Louis Crane, Louis H. Kauffman and David N. Yetter.  State-sum invariants of $4$-manifolds.  J. Knot Theory Ramifications, 6(2):177--234, 1997. MR1452438
Louis H. Kauffman, Masahico Saito and Stephen F. Sawin.  On finiteness of certain Vassiliev invariants.  J. Knot Theory Ramifications, 6(2):291--297, 1997. MR1452442
Louis H. Kauffman.  Knots and diagrams.  In Lectures at KNOTS '96 (Tokyo), pages 123--194.  World Sci. Publ., River Edge, NJ, 1997. MR1474521
L. Kauffman.  An introduction to knot theory and functional integrals.  In Functional integration (Cargèse, 1996), pages 247--308.  Plenum, New York, 1997. MR1477459
J. Scott Carter, Louis H. Kauffman and Masahico Saito.  Diagrammatics, singularities, and their algebraic interpretations.  Mat. Contemp., 13:21--115, 1997. MR1630632
Yumei Dang and Louis H. Kauffman.  Hypercomplex fractal distance estimation.  In Fractal frontiers (Denver, CO, 1997), pages 117--130.  World Sci. Publ., River Edge, NJ, 1997. MR1636265
Louis H. Kauffman.  Knots and electricity.  In KNOTS '96 (Tokyo), pages 213--230.  World Sci. Publ., River Edge, NJ, 1997. MR1664963
Louis H. Kauffman, editors.  The interface of knots and physics, volume 51 of Proceedings of Symposia in Applied Mathematics.  American Mathematical Society, Providence, RI, 1996. MR1372764
Louis H. Kauffman.  Knots and statistical mechanics.  In The interface of knots and physics (San Francisco, CA, 1995), pages 1--87.  Amer. Math. Soc., Providence, RI, 1996. MR1372765
Louis H. Kauffman and H. Pierre Noyes.  Discrete physics and the derivation of electromagnetism from the formalism of quantum mechanics.  Proc. Roy. Soc. London Ser. A, 452(1944):81--95, 1996. MR1384942
Louis H. Kauffman.  Tangle complexity and the topology of the Chinese rings.  In Mathematical approaches to biomolecular structure and dynamics (Minneapolis, MN, 1994), pages 1--10.  Springer, New York, 1996. MR1428708
Jack Armel.  Entropic spacetime theory, volume 13 of Series on Knots and Everything.  World Scientific Publishing Co. Inc., River Edge, NJ, 1996. MR1626501
Louis H. Kauffman and David E. Radford.  Invariants of $3$-manifolds derived from finite-dimensional Hopf algebras.  J. Knot Theory Ramifications, 4(1):131--162, 1995. MR1321293
Louis H. Kauffman.  Functional integration and the theory of knots.  J. Math. Phys., 36(5):2402--2429, 1995. MR1329259
Louis H. Kauffman.  Hopf algebras and invariants of $3$-manifolds.  J. Pure Appl. Algebra, 100(1-3):73--92, 1995. MR1344844
Louis H. Kauffman, editors.  Knots and applications, volume 6 of Series on Knots and Everything.  World Scientific Publishing Co. Inc., River Edge, NJ, 1995. MR1364187
Louis H. Kauffman.  Knot logic.  In Knots and applications, pages 1--110.  World Sci. Publ., River Edge, NJ, 1995. MR1364188
Louis H. Kauffman and Yuri B. Magarshak.  Vassiliev knot invariants and the structure of RNA folding.  In Knots and applications, pages 343--394.  World Sci. Publ., River Edge, NJ, 1995. MR1364195
Louis H. Kauffman.  Knots and complex systems.  In Complex systems and binary networks (Guanajuato, 1995), pages 32--76.  Springer, Berlin, 1995. MR1481200
Louis H. Kauffman and Sóstenes L. Lins.  Temperley-Lieb recoupling theory and invariants of $3$-manifolds, volume 134 of Annals of Mathematics Studies.  Princeton University Press, Princeton, NJ, 1994. MR1280463
F. Jaeger, L. H. Kauffman and H. Saleur.  The Conway polynomial in ${\bf R}^ 3$ and in thickened surfaces: a new determinant formulation.  J. Combin. Theory Ser. B, 61(2):237--259, 1994. MR1280610
Louis H. Kauffman and Yuri Magarshak.  Graph invariants and the topology of RNA folding.  J. Knot Theory Ramifications, 3(3):233--245, 1994. MR1291857
George K. Francis and Louis H. Kauffman.  Air on the Dirac strings.  In The mathematical legacy of Wilhelm Magnus: groups, geometry and special functions (Brooklyn, NY, 1992), pages 261--276.  Amer. Math. Soc., Providence, RI, 1994. MR1292904
Louis H. Kauffman.  Vassiliev invariants and the loop states in quantum gravity.  In Knots and quantum gravity (Riverside, CA, 1993), pages 77--95.  Oxford Univ. Press, New York, 1994. MR1309915
Louis H. Kauffman.  Knots and topological quantum field theory.  In Proceedings of the Conference on Quantum Topology (Manhattan, KS, 1993), pages 137--186.  World Sci. Publ., River Edge, NJ, 1994. MR1309932
Louis H. Kauffman.  Ribbon Hopf algebras and invariants of $3$-manifolds.  Adv. Appl. Clifford Algebras, 4(Suppl. 1):3--20, 1994. MR1337687
Louis Crane, Louis H. Kauffman and David N. Yetter.  On the classicality of Broda's ${\rm SU}(2)$ invariants of $4$-manifolds.  Adv. Appl. Clifford Algebras, 4(Suppl. 1):21--25, 1994. MR1337688
Louis Crane, Louis H. Kauffman and David N. Yetter.  On the failure of the Lickorish encirclement lemma for Temperley-Lieb recoupling theory at certain roots of unity.  Adv. Appl. Clifford Algebras, 4(Suppl. 1):27--31, 1994. MR1337689
Louis H. Kauffman.  Polynomial invariants in knot theory.  In Braid group, knot theory and statistical mechanics, II, pages 202--233.  World Sci. Publ., River Edge, NJ, 1994. MR1338604
Louis H. Kauffman.  Spin networks, topology and discrete physics.  In Braid group, knot theory and statistical mechanics, II, pages 234--274.  World Sci. Publ., River Edge, NJ, 1994. MR1338605
Louis H. Kauffman and Yuri Magarshak.  Graph invariants and the topology of RNA folding.  In Random knotting and linking (Vancouver, BC, 1993), pages 1--13.  World Sci. Publ., River Edge, NJ, 1994. MR1474259
Louis Kauffman, Jonathan Simon, Keith Wolcott and Peiyi Zhao.  Invariants of theta-curves and other graphs in $3$-space.  Topology Appl., 49(3):193--216, 1993. MR1208672
Louis Kauffmann and H. Saleur.  An algebraic approach to the planar coloring problem.  Comm. Math. Phys., 152(3):565--590, 1993. MR1213302
Randy A. Baadhio and Louis H. Kauffman.  Link manifolds and global gravitational anomalies.  Rev. Math. Phys., 5(2):331--343, 1993. MR1223525
Jay R. Goldman and Louis H. Kauffman.  Knots, tangles, and electrical networks.  Adv. in Appl. Math., 14(3):267--306, 1993. MR1228742
Louis H. Kauffman and David E. Radford.  A necessary and sufficient condition for a finite-dimensional Drinfel\cprime d double to be a ribbon Hopf algebra.  J. Algebra, 159(1):98--114, 1993. MR1231205
Louis H. Kauffman.  Gauss codes, quantum groups and ribbon Hopf algebras.  Rev. Math. Phys., 5(4):735--773, 1993. MR1253734
Louis H. Kauffman.  Combinatorial recoupling theory and $3$-manifold invariants.  In Low-dimensional topology and quantum field theory (Cambridge, 1992), pages 1--17.  Plenum, New York, 1993. MR1263967
Louis H. Kauffman and Randy A. Baadhio, editors.  Quantum topology, volume 3 of Series on Knots and Everything.  World Scientific Publishing Co. Inc., River Edge, NJ, 1993. MR1273564
Louis H. Kauffman.  Introduction to quantum topology.  In Quantum topology, pages 1--77.  World Sci. Publ., River Edge, NJ, 1993. MR1273565
Louis Crane, Louis H. Kauffman and David Yetter.  Evaluating the Crane-Yetter invariant.  In Quantum topology, pages 131--138.  World Sci. Publ., River Edge, NJ, 1993. MR1273570
Louis H. Kauffman.  Knots and physics.  World Scientific Publishing Co. Inc., River Edge, NJ, 1993. MR1306280
Louis H. Kauffman.  Vassiliev invariants and the Jones polynomial.  In Quantum groups, integrable statistical models and knot theory (Tianjin, 1992), pages 205--208.  World Sci. Publ., River Edge, NJ, 1993. MR1340634
Louis H. Kauffman and Pierre Vogel.  Link polynomials and a graphical calculus.  J. Knot Theory Ramifications, 1(1):59--104, 1992. MR1155094
Louis Kauffman and Sóstenes Lins.  Decomposition of the vertex group of $3$-manifolds.  Discrete Math., 103(1):49--55, 1992. MR1171116
Louis H. Kauffman.  Knots, spin networks and $3$-manifold invariants.  In Knots 90 (Osaka, 1990), pages 271--287.  de Gruyter, Berlin, 1992. MR1177428
Louis H. Kauffman.  Errata: ``Map coloring, $q$-deformed spin networks, and Turaev-Viro invariants for $3$-manifolds''.  Internat. J. Modern Phys. B, 6(19):3249, 1992. MR1184967
Louis H. Kauffman.  Map coloring, $q$-deformed spin networks, and Turaev-Viro invariants for $3$-manifolds.  Internat. J. Modern Phys. B, 6(11-12):1765--1794, 1992. MR1186843
L. Kauffman and H. Saleur.  Fermions and link invariants.  In Infinite analysis, Part A, B (Kyoto, 1991), pages 493--532.  World Sci. Publ., River Edge, NJ, 1992. MR1187562
Louis H. Kauffman.  Knots and physics.  In New scientific applications of geometry and topology (Baltimore, MD, 1992), pages 131--246.  Amer. Math. Soc., Providence, RI, 1992. MR1196718
Louis H. Kauffman.  Gauss codes and quantum groups.  In Quantum field theory, statistical mechanics, quantum groups and topology (Coral Gables, FL, 1991), pages 123--154.  World Sci. Publ., River Edge, NJ, 1992. MR1223132
Louis H. Kauffman.  $q$-deformed spin networks, and Turaev-Viro invariants for $3$-manifolds.  In Proceedings of the XXth International Conference on Differential Geometric Methods in Theoretical Physics, Vol. 1, 2 (New York, 1991), pages 1036--1056.  World Sci. Publ., River Edge, NJ, 1992. MR1225189
Louis H. Kauffman and Sóstenes Lins.  Computing Turaev-Viro invariants for $3$-manifolds.  Manuscripta Math., 72(1):81--94, 1991. MR1107454
Louis H. Kauffman.  From knots to quantum groups and back.  In Quantum groups (Argonne, IL, 1990), pages 1--32.  World Sci. Publ., Teaneck, NJ, 1991. MR1109750
C. Aneziris, A. P. Balachandran, L. Kauffman and A. M. Srivastava.  Novel statistics for strings and string ``Chern-Simon[s]'' terms.  Internat. J. Modern Phys. A, 6(14):2519--2558, 1991. MR1117146
L. H. Kauffman and H. Saleur.  Free fermions and the Alexander-Conway polynomial.  Comm. Math. Phys., 141(2):293--327, 1991. MR1133269
Louis H. Kauffman.  Knots and physics, volume 1 of Series on Knots and Everything.  World Scientific Publishing Co. Inc., River Edge, NJ, 1991. MR1141156
Louis H. Kauffman.  Spin networks and knot polynomials.  Internat. J. Modern Phys. A, 5(1):93--115, 1990. MR1027946
Louis H. Kauffman.  An integral heuristic.  Internat. J. Modern Phys. A, 5(7):1363--1367, 1990. MR1044468
Louis H. Kauffman.  Map coloring and the vector cross product.  J. Combin. Theory Ser. B, 48(2):145--154, 1990. MR1046751
Louis H. Kauffman.  State models for link polynomials.  Enseign. Math. (2), 36(1-2):1--37, 1990. MR1071412
Louis H. Kauffman.  Problems in knot theory.  In Open problems in topology, pages 487--522.  North-Holland, Amsterdam, 1990. MR1078665
Louis H. Kauffman.  From knots to quantum groups (And back).  In Hamiltonian systems, transformation groups and spectral transform methods (Montreal, PQ, 1989), pages 161--176.  Univ. Montréal, Montreal, QC, 1990. MR1110382
Louis H. Kauffman.  Statistical mechanics and the Jones polynomial [ MR0975085 (89j:57002)].  In New problems, methods and techniques in quantum field theory and statistical mechanics, pages 175--209.  World Sci. Publ., River Edge, NJ, 1990. MR1155192
Louis H. Kauffman.  Addendum: ``Statistical mechanics and the Jones polynomial'' [in \it {B}raids ({S}anta {C}ruz, {CA}, 1986), 263--297, Contemp. Math., 78, Amer. Math. Soc., Providence, RI, 1988; MR0975085 (89j:57002)].  In New problems, methods and techniques in quantum field theory and statistical mechanics, pages 210--222.  World Sci. Publ., River Edge, NJ, 1990. MR1155193
Louis H. Kauffman.  An invariant of regular isotopy.  Trans. Amer. Math. Soc., 318(2):417--471, 1990. MR958895
Louis H. Kauffman.  Statistical mechanics and the Alexander polynomial.  In Algebraic topology (Evanston, IL, 1988), pages 221--231.  Amer. Math. Soc., Providence, RI, 1989. MR1022683
Louis H. Kauffman.  A Tutte polynomial for signed graphs.  Discrete Appl. Math., 25(1-2):105--127, 1989. MR1031266
Louis H. Kauffman.  Knot polynomials and Yang-Baxter models.  In IXth International Congress on Mathematical Physics (Swansea, 1988), pages 438--441.  Hilger, Bristol, 1989. MR1033810
Louis H. Kauffman.  Polynomial invariants in knot theory.  In Braid group, knot theory and statistical mechanics, pages 27--58.  World Sci. Publ., Teaneck, NJ, 1989. MR1062422
L. H. Kauffman.  Knots, abstract tensors and the Yang-Baxter equation.  In Knots, topology and quantum field theories (Florence, 1989), pages 179--334.  World Sci. Publ., River Edge, NJ, 1989. MR1146944
L. H. Kauffman.  Knots and physics.  Note Mat., 9(suppl.):17--32, 1989. MR1154129
Louis H. Kauffman.  Invariants of graphs in three-space.  Trans. Amer. Math. Soc., 311(2):697--710, 1989. MR946218
Ivan Handler, Louis H. Kauffman and Dan Sandin.  On crossing the boundary of the Mandelbrot set.  In Computers in geometry and topology (Chicago, IL, 1986), pages 151--177.  Dekker, New York, 1989. MR988696
Louis H. Kauffman.  New invariants in the theory of knots.  Amer. Math. Monthly, 95(3):195--242, 1988. MR935433
Louis H. Kauffman.  Statistical mechanics and the Jones polynomial.  In Braids (Santa Cruz, CA, 1986), pages 263--297.  Amer. Math. Soc., Providence, RI, 1988. MR975085
Louis H. Kauffman.  New invariants in the theory of knots.  Astérisque, 163-164:6, 137--219, 282 (1989), 1988. MR999974
Louis H. Kauffman.  State models and the Jones polynomial.  Topology, 26(3):395--407, 1987. MR899057
Louis H. Kauffman.  On knots, volume 115 of Annals of Mathematics Studies.  Princeton University Press, Princeton, NJ, 1987. MR907872
Lou Kauffman.  Map reformulation.  Princelet Editions, Champaign, IL, 1986. MR958121
Louis H. Kauffman.  Transformations in special relativity.  Internat. J. Theoret. Phys., 24(3):223--236, 1985. MR788249
Louis H. Kauffman.  The Arf invariant of classical knots.  In Combinatorial methods in topology and algebraic geometry (Rochester, N.Y., 1982), pages 101--116.  Amer. Math. Soc., Providence, RI, 1985. MR813106
Louis H. Kauffman.  Formal knot theory, volume 30 of Mathematical Notes.  Princeton University Press, Princeton, NJ, 1983. MR712133
Louis H. Kauffman.  Combinatorics and knot theory.  In Low-dimensional topology (San Francisco, Calif., 1981), pages 181--200.  Amer. Math. Soc., Providence, RI, 1983. MR718142
L. H. Kauffman.  Levine's theorem---a remark.  In Low-dimensional topology (Bangor, 1979), pages 67--69.  Cambridge Univ. Press, Cambridge, 1982. MR662428
Louis H. Kauffman.  The Conway polynomial.  Topology, 20(1):101--108, 1981. MR592573
Louis H. Kauffman and David M. Solzman.  Letter to the editor.  Internat. J. Gen. Systems, 7(4):253--256, 1981. MR670709
Louis H. Kauffman.  Weaving patterns and polynomials.  In Topology Symposium, Siegen 1979 (Proc. Sympos., Univ. Siegen, Siegen, 1979), pages 88--97.  Springer, Berlin, 1980. MR585654
Louis H. Kauffman.  Planar surface immersions.  Illinois J. Math., 23(4):648--665, 1979. MR540402
Deborah L. Goldsmith and Louis H. Kauffman.  Twist spinning revisited.  Trans. Amer. Math. Soc., 239:229--251, 1978. MR487047
Louis H. Kauffman.  Signature of branched fibrations.  In Knot theory (Proc. Sem., Plans-sur-Bex, 1977), pages 203--217.  Springer, Berlin, 1978. MR521734
Louis H. Kauffman.  De Morgan algebras---completeness and recursion.  In Proceedings of the Eighth International Symposium on Multiple-Valued Logic (Rosemont, Ill., 1978), pages 82--86.  IEEE, Long Beach, Calif., 1978. MR565418
Louis H. Kauffman and Thomas F. Banchoff.  Immersions and ${\rm mod}$-$2$ quadratic forms.  Amer. Math. Monthly, 84(3):168--188, 1977. MR0431208
Louis H. Kauffman and Walter D. Neumann.  Products of knots, branched fibrations and sums of singularities.  Topology, 16(4):369--393, 1977. MR0488073
Louis H. Kauffman.  Network synthesis and Varela's calculus.  Internat. J. Gen. Systems, 4(3):179--187, 1977/78. MR0504396
Louis H. Kauffman and Laurence R. Taylor.  Signature of links.  Trans. Amer. Math. Soc., 216:351--365, 1976. MR0388373
Steven L. Jordan and Louis H. Kauffman.  Differential geometry of the torus and torus knots.  Delta (Waukesha), 6(1):1--15, 1976. MR0413005
Alan Durfee and Louis Kauffman.  Periodicity of branched cyclic covers.  Math. Ann., 218(2):157--174, 1975. MR0385872
Louis H. Kauffman.  Link manifolds.  Michigan Math. J., 21:33--44, 1974. MR0350764
Louis H. Kauffman.  Products of knots.  Bull. Amer. Math. Soc., 80:1104--1107, 1974. MR0362325
Louis H. Kauffman.  An invariant of link concordance.  In Topology Conference (Virginia Polytech. Inst. and State Univ., Blacksburg, Va., 1973), pages 153--157. Lecture Notes in Math., Vol. 375.  Springer, Berlin, 1974. MR0362373
Louis H. Kauffman.  Branched coverings, open books and knot periodicity.  Topology, 13:143--160, 1974. MR0375337
Louis H. Kauffman.  Link manifolds and periodicity.  Bull. Amer. Math. Soc., 79:570--573, 1973. MR0328954
Louis Kauffman.  Cyclic branched cover and $0(n)$-manifolds.  In Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971), Part I, pages 416--429. Lecture Notes in Math., Vol. 298.  Springer, Berlin, 1972. MR0440582
update this page
HTML 5 CSS FAE
UIC LAS MSCS > people > publications