Topology Atlas | Conferences

Knots in Washington XXXVII
January 19-20, 2014
George Washington University
Washington, DC, USA

Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU and UMCP), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Torus knots and rational Cherednik algebras
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.