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KNOTS IN WASHINGTON XXI: Skein modules, Khovanov homology and Hochschild homology
December 9-11, 2005
George Washington University
Washington, DC, USA

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

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Khovanov-Rozansky homology and a graphical calculus for tensor products
by
Ben Webster
UC Berkeley

We describe a more flexible definition of Khovanov-Rozansky homology, relating knot diagrams and modules by means of a graphical calculus. As time allows, we will show how this perspective allows for easy proofs of Reidemeister invariance, the skein relation on Euler characteristics, and how it leads us to computer computations (and a hope for more efficient ones).

Date received: November 29, 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-11.