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Knots in Washington XXIV; Dedicated to the memory of Xiao-Song Lin
April 13-15, 2007
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU and UMD), Yongwu Rong (GWU), Alexander Shumakovitch (GWU)

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Vassiliev invriants that do not distinguish mutant knots.
by
Sergei Chmutov
The Ohio State University, Mansfield
Coauthors: Sergei Lando

The purpose of this presentation is to describe all Vassiliev invariants that do not distinguish mutant knots in terms of their weight systems. Namely, a (canonical) Vassiliev invariant does not distinguish mutant knots if and only if its weight system depends on the intersection graph of a chord diagram only.

Date received: March 26, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauq-04.