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Commuting actions of sl(2) and S_n on sutured annular Khovanov homology
by
Stephan Wehrli
Syracuse University
Coauthors: Eli Grigsby and Tony Licata
To a link L in a thickened annulus, Asaeda-Przytycki-Sikora assigned a Khovanov-type homology theory which categorifies the skein module of the thickened annulus and which is related to a certain knot Floer homology by work of Roberts. In this talk, I will show that this homology theory carries a natural action of sl(2) and, in the case where L is the n-cable of a framed knot K, a commuting action of the symmetric group S_n. In the case where K is the 0-framed unknot, we recover classical Schur-Weyl duality for the nth tensor power of the fundamental representation of sl(2). This is joint work with Eli Grigsby and Tony Licata.
Date received: May 2, 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 # cbjb-03.