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A geometric description of colored HOMFLYPT homology
by
Ben Webster
MIT
Coauthors: Geordie Williamson
Building on previous work of the authors which gave a geometric description of Khovanov and Rozansky's HOMFLYPT homology, we give a construction of a categorification of the colored HOMFLYPT polynomial matching that of Mackaay, Stosic and Vaz. This construction is based on the equivariant cohomology of general linear groups and related spaces. While this description is more technically sophisticated than the bimodule approach introduced by Khovanov, it shows why the complexes of bimodules considered are natural choices and simplifies the proof of invariance.
Date received: November 10, 2008
Copyright © 2008 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 # caxq-16.