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Milnor Invariants and the HOMFLYPT polynomial

Jean-Baptiste Meilhan
(Institut Fourier, Université Grenoble)
Seminar
Onsdag, 29 januar, 2014, at 16:15-17:15, in Aud. D3 (1531-215)
Abstrakt:
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.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen