Topology Atlas | Conferences

Conference on Knot Theory and Its Applications to Physics and Quantum Computing; 60th birthday of Jozef H. Przytycki
January 6-9, 2015
University of Texas at Dallas
Richardson, TX, USA

Organizers
Mieczyslaw K. Dabkowski (UTD) Tobias Hagge (UTD) Valentina S. Harizanov (GWU) Viswanath Ramakrishna (UTD) Radmila Sazdanovic (NCSU) Adam S. Sikora (SUNYUB)

Conference Homepage


An algebraic construction of colored HOMFLY-PT homology
by
Michael Abel
Virginia Commonwealth University
Coauthors: Matt Hogancamp

We construct complexes of Soergel bimodules which categorify the Young idempotents corresponding to one-column partitions. Using these categorical idempotents, we construct a triply graded link homology theory which categorifies the HOMFLY-PT polynomial colored by one-column partitions. As an application of this theory, we compute the stable Khovanov-Rozansky homology of torus knots HHH(T(n, )). This link homology theory specializes to Khovanov-Rozansky homology in the uncolored case.

Date received: December 10, 2014

Copyright © 2014 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 # cbjz-49.