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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 work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cauq-04.