Quantum Topology / Hopf Algebra Seminar
Eiji Ogasa
UIC and Meiji Gakuin University
A local move identity for the Alexander polynomial of surfaces in 4-space
Abstract: The Alexander polynomial of 1-links satisfies a very well-known local move identity.
We show that the Alexander polynomial of closed oriented surfaces in 4-space satisfies a local move identity.
Reference:
Eiji Ogasa: Local move identities for the Alexander polynomials of high-dimensional knots and inertia groups.
J. Knot Theory Ramifications 18 (2009), no. 4, 531?545.
Eiji Ogasa: Ribbon-moves of 2-links preserve the mu-invariant of 2-links.
J. Knot Theory Ramifications 13 (2004), no. 5, 669?687.
Appendix: Do you like a paper-craft associated with topology?
The speaker made a way of making Boy surface by using a pair of scissors,
a piece of scotch tape, and some pieces of paper. Please bring your Boy surafce if you make it.
Video: http://www.youtube.com/watch?v=dekzCBOlNAc
Plan: http://arxiv.org/abs/1303.6448
Tuesday September 9, 2014 at 3:00 PM in SEO 612