Topology Atlas | Conferences

Knots in Washington XL in memory of Sergei Duzhin (1956-2015)
March 9-11, 2015
George Washington University and Georgetown University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Paul Kainen (Georgetown U.), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Categorified Young antisymmetrizers and stable HOMFLYPT homology of torus links
by
Michael Abel
Virginia Commonwealth University
Coauthors: Matt Hogancamp

The HOMFLY-PT polynomial colored by one-column partitions can be constructed by cabling a braid by objects known as Young antisymmetrizers in the Hecke algebra of Sn. In this talk, we will explictly show how to categorify the Young antisymmetrizers in the homotopy category of Soergel bimodules in the case n = 2 and 3. Along the way we will discuss properties which can be generalized to any n, leading to a more general construction. We will also discuss the relation between the categorified Young antisymmetrizers and the stable HOMFLYPT homology of torus links.

Date received: February 25, 2015

Copyright © 2015 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 # cbkp-16.