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Knots in Washington XXXIII; Categorification of Knots, Algebras, and Quandles; Quantum Computing
December 2-4, 2011
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU),Mark Kidwell (U.S. Naval Academy and GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Milnor invariants and the HOMFLYPT polynomial
by
Akira Yasuhara
Tokyo Gakugei University
Coauthors: Jean-Baptiste Meilhan (Univ of Grenoble I)

We give formulas expressing Milnor's isotopy invariants of a link L in the 3-sphere in terms of the HOMFLYPT polynomial as follows. If the Milnor invariants of L vanish for all sequences with length at most k, then any Milnor invariant of L with length between 3 and 2k+1 can be represented as a combination of HOMFLYPT polynomial of knots obtained from the link by certain band sum

Date received: October 22, 2011

Copyright © 2011 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbdt-07.