Topology Atlas | Conferences

Knots in Washington XLI
December 4-6, 2015
George Washington University
Washington, DC, USA

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

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Stable homology of torus links via categorified Young antisymmetrizers
by
Michael Abel
Duke University
Coauthors: Matt Hogancamp

We construct complexes of Soergel bimodules which categorify the Young antisymmetrizers in Hecke algebras. A beautiful recent conjecture of Gorsky and Rasmussen relates the Hochschild homology of categorified Young idempotents with the flag Hilbert scheme. We prove this conjecture for Young antisymmetrizers and their twisted variants. We also show that this homology is also a certain limit of Khovanov-Rozansky homologies of (n,nm+k) torus links.

Date received: November 16, 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 # cblw-28.