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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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A categorification of the 2-variable and SU(N) HOMFLY-PT polynomials side by side
by
Lev Rozansky
University of North Carolina at Chapel Hill
Coauthors: M. Khovanov

This is a report on our joint work with M. Khovanov. I will explain how a 2-variable HOMFLY-PT polynomial is categorified with the help of simple Koszul complexes and how this categorification is modified for the SU(N) case by introduction of an extra differential which turns Koszul complexes into Koszul matrix factorizations.

Date received: November 18, 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-05.