Topology Atlas | Conferences

Knots in Washington XLIV
April 28-30, 2017
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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Colored Khovanov-Rozansky homology of infinite braids
by
Michael Abel
Duke University
Coauthors: Michael Willis (University of Virginia)

Islambouli and Willis showed in their recent work that the limiting Khovanov chain complex of any infinite positive braid categorifies the Jones-Wenzl projector. In this talk we show that the limiting Khovanov-Rozansky sl(n) chain complex of any infinite positive braid categorifies the highest weight projectors, generalizing an earlier result of Cautis. We also show that an analogous result holds in the unicolored case. That is, when one colors all of the strands by the same fundamental representation of sl(n).

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Date received: April 14, 2017

Copyright © 2017 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 # cbof-12.