Publications of Steven Hurder
Orbit equivalence and classification of weak solenoids.
Indiana University Math. Journal,
xx-xxx, 2020.
Pro-groups and generalizations of a theorem of Bing.
Topology and its applications,
xx-xxx, 2020.
Limit group invariants for non-free Cantor actions.
Ergodic Theory Dynamical Systems,
xx-xxx, 2020.
Classifying matchbox manifolds.
Geometry and Topology,
23:1-38, 2019.
Wild solenoids.
Transactions Amer. Math. Soc.,
371:4493-4533, 2019.
Manifold-like matchbox manifolds.
Proceedings A.M.S.,
147:3579-3594, 2019.
Orbit equivalence for nilpotent cantor actions.
2019.
Dynamics and the Godbillon-Vey class of $C^1$ foliations.
Journal Math. Society Japan,
70:423 - 462, 2018.
Aperiodicity at the boundary of chaos.
Ergodic Theory Dynamical Systems,
38:2683-2728, 2018.
Compact foliations with finite transverse LS category.
Journal Math. Society Japan,
70:1015-1046, 2018.
Growth and homogeneity of matchbox manifolds .
Indagationes Math.,
28:145-169, 2017.
Molino theory for matchbox manifolds.
Pacific Journal Math.,
289:91-151, 2017.
Perspectives on Kuperberg flows.
Topology Proceedings,
51:197-244, 2017.
The dynamics of generic Kuperberg flows.
Asterisque, Vol. 377. 2016.
Lipschitz matchbox manifolds.
In Geometry, Dynamics, and Foliations 2013, volume 72 of Advanced Studies in Pure Mathematics,
pages 71-115. 2016.
The discriminant invariant of Cantor group actions .
Topology and its Applications,
208:64-92, 2016.
Shape of matchbox manifolds.
Indag. Math. (N.S.),
25(4):669--712, 2014.
MR3217031
Lectures on foliation dynamics: Barcelona 2010.
In Foliations: dynamics, geometry and topology,
pages 87-149. Birkhäuser, Mathematics, 2014.
Voronoi tessellations for matchbox manifolds.
Topology Proc.,
41:167--259, 2013.
MR2979961
Homogeneous matchbox manifolds.
Trans. Amer. Math. Soc.,
365(6):3151--3191, 2013.
MR3034462
Foliations 2012.
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013.
MR3185651
Foliations 2012.
World Scientific Publishing Co., 2013.
Problem session - foliations 2012.
In Foliations 2012,
pages 235--255. World Scientific Publishing Co., 2013.
Embedding solenoids in foliations.
Topology Appl.,
158(11):1249--1270, 2011. http://arxiv.org/pdf/0812.1085v2 .
MR2806360
The equivariant LS-category of polar actions.
Topology Appl.,
156(3):500--514, 2009.
MR2492297
Characteristic classes for Riemannian foliations.
In Differential geometry,
pages 11--35. World Sci. Publ., Hackensack, NJ, 2009.
MR2523487
Transverse LS category for Riemannian foliations.
Trans. Amer. Math. Soc.,
361(11):5647--5680, 2009.
MR2529908
Classifying foliations.
In Foliations, geometry, and topology,
pages 1--65. Amer. Math. Soc., Providence, RI, 2009.
MR2664589
Category and compact leaves.
Topology Appl.,
153(12):2135--2154, 2006.
MR2239077
Foliations 2005.
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2006.
MR2284772
Hirsch foliations in codimension greater than one.
In Foliations 2005,
pages 71--108. World Sci. Publ., Hackensack, NJ, 2006.
MR2284777
Problem set.
In Foliations 2005,
pages 441--475. World Sci. Publ., Hackensack, NJ, 2006.
MR2284797
Global analysis on foliated spaces, second edition (Revised).
Cambridge University Press, 2006. Appendix A, pages 225--248.
LS-category of compact Hausdorff foliations.
Trans. Amer. Math. Soc.,
356(4):1463--1487 (electronic), 2004.
MR2034314
Dynamics and the Godbillon-Vey class: a history and survey.
In Foliations: geometry and dynamics (Warsaw, 2000),
pages 29--60. World Sci. Publ., River Edge, NJ, 2002.
MR1882764
Tangential LS category and cohomology for foliations.
In Lusternik-Schnirelmann category and related topics (South Hadley, MA, 2001),
pages 41--64. Amer. Math. Soc., Providence, RI, 2002.
MR1962152
Coarse cohomology for families.
Illinois J. Math.,
45(2):323--360, 2001.
MR1878608
Manifolds which cannot be leaves of foliations.
Topology,
35(2):335--353, 1996.
MR1380502
Infinitesimal rigidity for hyperbolic actions.
J. Differential Geom.,
41(3):515--527, 1995.
MR1338481
Exotic index theory and the Novikov conjecture.
In Novikov conjectures, index theorems and rigidity, Vol. 2 (Oberwolfach, 1993),
pages 255--276. Cambridge Univ. Press, Cambridge, 1995.
MR1388313
Topological rigidity of strong stable foliations for Cartan actions.
Ergodic Theory Dynam. Systems,
14(1):151--167, 1994.
MR1268714
Differential topology, foliations, and group actions, volume 161 of Contemporary Mathematics.
American Mathematical Society, Providence, RI, 1994.
MR1271823
Transverse Euler classes of foliations on nonatomic foliation cycles.
In Differential topology, foliations, and group actions (Rio de Janeiro, 1992),
pages 29--39. Amer. Math. Soc., Providence, RI, 1994.
MR1271826
A survey of rigidity theory for Anosov actions.
In Differential topology, foliations, and group actions (Rio de Janeiro, 1992),
pages 143--173. Amer. Math. Soc., Providence, RI, 1994.
MR1271833
Coarse geometry of foliations.
In Geometric study of foliations (Tokyo, 1993),
pages 35--96. World Sci. Publ., River Edge, NJ, 1994.
MR1363719
A product theorem for $\Omega B\Gamma_ G$.
Topology Appl.,
50(1):81--86, 1993.
MR1217699
Topology of covers and the spectral theory of geometric operators.
In Index theory and operator algebras (Boulder, CO, 1991),
pages 87--119. Amer. Math. Soc., Providence, RI, 1993.
MR1228501
Affine Anosov actions.
Michigan Math. J.,
40(3):561--575, 1993.
MR1236179
Rigidity for Anosov actions of higher rank lattices.
Ann. of Math. (2),
135(2):361--410, 1992.
MR1154597
Cyclic cocycles, renormalization and eta-invariants.
Invent. Math.,
103(1):101--179, 1991.
MR1079841
Exceptional minimal sets of $C^ {1+\alpha}$-group actions on the circle.
Ergodic Theory Dynam. Systems,
11(3):455--467, 1991.
MR1125883
The longitudinal cocycle and the index of Toeplitz operators.
J. Funct. Anal.,
101(1):120--144, 1991.
MR1132311
The intersection product of transverse invariant measures.
Indiana Univ. Math. J.,
40(4):1169--1183, 1991.
MR1142709
Deformation rigidity for subgroups of ${\rm SL}(n,{\bf Z})$ acting on the $n$-torus.
Bull. Amer. Math. Soc. (N.S.),
23(1):107--113, 1990.
MR1027900
Eta invariants and the odd index theorem for coverings.
In Geometric and topological invariants of elliptic operators (Brunswick, ME, 1988),
pages 47--82. Amer. Math. Soc., Providence, RI, 1990.
MR1047276
Homotopy characteristic classes of foliations.
Illinois J. Math.,
34(3):628--655, 1990.
MR1053567
Differentiability, rigidity and Godbillon-Vey classes for Anosov flows.
Inst. Hautes Études Sci. Publ. Math.,
72:5--61 (1991), 1990.
MR1087392
Eta invariants and von Neumann algebras.
Bull. Amer. Math. Soc. (N.S.),
21(1):83--87, 1989.
MR979832
Global analysis on foliated spaces, volume 9 of Mathematical Sciences Research Institute Publications.
Springer-Verlag, New York, 1988.
MR918974
Toeplitz operators and the eta invariant: the case of $S^ 1$.
In Index theory of elliptic operators, foliations, and operator algebras (New Orleans, LA/Indianapolis, IN, 1986),
pages 11--41. Amer. Math. Soc., Providence, RI, 1988.
MR948687
Ergodic theory of foliations and a theorem of Sacksteder.
In Dynamical systems (College Park, MD, 1986--87),
pages 291--328. Springer, Berlin, 1988.
MR970562
Ergodic theory and Weil measures for foliations.
Ann. of Math. (2),
126(2):221--275, 1987.
MR908148
The Godbillon measure of amenable foliations.
J. Differential Geom.,
23(3):347--365, 1986.
MR852160
The Connes spectrum for actions of abelian groups on continuous-trace algebras.
Ergodic Theory Dynam. Systems,
6(4):541--560, 1986.
MR873431
The classifying space of smooth foliations.
Illinois J. Math.,
29(1):108--133, 1985.
MR769761
Foliation dynamics and leaf invariants.
Comment. Math. Helv.,
60(2):319--335, 1985.
MR800011
Problems on rigidity of group actions and cocycles.
Ergodic Theory Dynam. Systems,
5(3):473--484, 1985.
MR805843
Secondary classes and transverse measure theory of a foliation.
Bull. Amer. Math. Soc. (N.S.),
11(2):347--350, 1984.
MR752795
Secondary classes, Weil measures and the geometry of foliations.
J. Differential Geom.,
20(2):291--309, 1984.
MR788282
Vanishing of secondary classes for compact foliations.
J. London Math. Soc. (2),
28(1):175--183, 1983.
MR703475
Global invariants for measured foliations.
Trans. Amer. Math. Soc.,
280(1):367--391, 1983.
MR712266
Independent rigid secondary classes for holomorphic foliations.
Invent. Math.,
66(2):313--323, 1982.
MR656626
Exotic classes for measured foliations.
Bull. Amer. Math. Soc. (N.S.),
7(2):389--391, 1982.
MR663792
On the homotopy and cohomology of the classifying space of Riemannian foliations.
Proc. Amer. Math. Soc.,
81(3):485--489, 1981.
MR597668
Dual homotopy invariants of $G$-foliations.
Topology,
20(4):365--387, 1981.
MR617372
On the secondary classes of foliations with trivial normal bundles.
Comment. Math. Helv.,
56(2):307--326, 1981.
MR630956
Homotopy invariants of foliations.
In Topology Symposium, Siegen 1979 (Proc. Sympos., Univ. Siegen, Siegen, 1979),
pages 49--61. Springer, Berlin, 1980.
MR585652