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Extreme parts of the Khovanov complex
by
Sergei Chmutov
The Ohio State University, Mansfield
There are natural upper and lower bounds for the degree (second grading) in the Khovanov complex of a link. We call the corresponding subcomplexes the extreme bottom and extreme top subcomplexes respectively. I will talk about a description of these complexes in terms of independence vertex complexes of some graphs related to the link diagram. The result should be regarded as a categorification of the Bae-Morton formulas for the extreme coefficients of the Jones polynomial.
Date received: November 22, 2005
Copyright © 2005 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 # carw-08.