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A new categorification of the colored Jones polynomial
by
Stephan Wehrli
Columbia University
We describe an action of the n-th symmetric group on the disoriented Khovanov homology of the n-cable of a framed oriented knot in R^3. Using `spinorial confusions´, we then show that this action factors through an action of the n-th Temperley-Lieb algebra at q=1. Our results lead to a new categorification of the non-reduced colored Jones polynomial, and we prove that this categorification is essentially equivalent to Khovanov's categorification of the non-reduced colored Jones polynomial.
Date received: March 17, 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 # cawt-09.