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Graphs, links, and duality on surfaces
by
Slava Krushkal
University of Virginia
I will introduce a polynomial invariant of graphs on surfaces, generalizing the Tutte polynomial. This invariant satisfies a natural duality property, and it is closely related to the Bollobas-Riordan polynomial. I will also discuss a generalization of the Jones polynomial and Kauffman bracket for links in thickened surfaces, and their relation with the graph polynomial.
Date received: February 25, 2009
Copyright © 2009 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 # cayk-13.