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Torus knots and rational Cherednik algebras
by
Eugene Gorsky
Columbia University
Coauthors: Pavel Etingof, Ivan Losev
We prove that all colored HOMFLY-PT invariants of torus knots have nonnegative coefficients
when expanded in (-a) and q. Moreover, these coefficients are equal to the dimensions of certain
components in certain irreducible representations of rational Cherednik algebras. The talk is based
on arXiv:1304.3412.
Date received: December 27, 2013
Copyright © 2013 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 # cbid-17.