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On stable Khovanov homology of torus knots
by
Eugene Gorsky
Stony Brook University
Coauthors: Alexei Oblomkov, Jacob Rasmussen
A theorem of Stosic shows that the Khovanov homology of (n,m) torus knots stabilize at large m. The limiting homology are tightly related to the colored homology of the unknot. I will describe a simple conjectural model for the stable Khovanov homology using the Koszul homology of an explicit non-regular sequence of quadratic polynomials. This model reproduces available experimental data, including the torsion. The corresponding Poincare series turns out to be related to the Rogers-Ramanujan identity.
Date received: October 19, 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-06.