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A symmetric group action on the Khovanov homology of cables
by
Stephan Wehrli
Syracuse University
Following up on a conjecture that I stated at an earlier KIW conference, I will describe an action of the symmetric group on the Khovanov homology of the n-cable of a knot. I will show that this action factors through the Temperley-Lieb algebra at q=1, and I will use this result to outline a relationship with Khovanov's categorification of the nonreduced n-colored Jones polynomial.
Date received: November 22, 2012
Copyright © 2012 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 # cbfw-35.