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Seminar by Jean-Baptiste Meilhan (University of Grenoble)

Title: Milnor Invariants and the HOMFLYPT polynomial Speaker: Jean-Baptiste Meilhan (Institut Fourier, Université Grenoble)

2013.12.11 | Jane Jamshidi

Date Wed 29 Jan
Time 16:15 17:15
Location Aud. D3


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.