Topology Atlas | Conferences

Knots in Washington XLIII; 60th birthday of J. Scott Carter
December 9-11, 2016
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 colored HOMFLY-PT homology for torus links
by
Michael Abel
Duke University

Webster and Williamson’s colored HOMFLY-PT homology associates to a link, colored by positive integers, a triply-graded vector space. If the link is colored by a single integer k, then this homology theory categorifies the 1k-colored HOMFLY-PT polynomial. In this talk we will explore the stabilization of colored HOMFLY-PT homology for torus links. We prove that the chain complex of bimodules for an infinite full twist braid stabilizes under all colorings and work out the explicit homology of the closure in a few simple cases.

Date received: December 3, 2016

Copyright © 2016 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 # cbnq-37.