Title: Milnor Invariants and the HOMFLYPT polynomial Speaker: Jean-Baptiste Meilhan (Institut Fourier, Université Grenoble)
2013.12.11 |
| Date | Wed 29 Jan |
| Time | 16:15 — 17:15 |
| Location | Aud. D3 |
Abstract:
The purpose of this talk is to present a formula relating two link invariants of rather different nature : on one hand, Milnor invariants are extracted from the lower central series of the fundamental group of the exterior ; on the other hand, the HOMFLYPT polynomial is a quantum invariant.
After briefly reviewing the definitions, we will show how Milnor invariants of a link in the 3-sphere can be represented as a combination of HOMFLYPT polynomial of knots obtained from the link by various band sum operations.
This is a joint work with A. Yasuhara.
