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An isomorphism between Tutte homology for graphs and Khovanov homology for links
by
Yongwu Rong
George Washington University
The Tutte homology, defined by the speaker and E. Fanny Jasso-Hernandez, is a Khovanov type homology corresponding to the Tutte polynomial. It is well-known that the Tutte polynomial of a plane graph evaluated on the curve xy = 1 is essentially the Jones polynomial of the corresponding alternating link. In this talks, we show a categorification of this identity, namely, an isomorphism between these homology groups. This work is very preliminary.
Date received: May 4, 2006
Copyright © 2006 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 # casv-19.