|
Organizers |
Khovanov-Rozansky homology and current algebras
by
David E. V. Rose
University of Southern California
Coauthors: Hoel Queffelec
We'll use the sl_n foams developed by the speaker (joint with Queffelec) to show that the "Khovanov-Rozansky complex" of a link in S^3 presented as the closure of a balanced tangle admits a special representative in which the differentials are given by the action of a current algebra. This endows the complex with a filtration, and the homology of the associated graded complex is an invariant of the tangle closure, viewed as a link in the thickened annulus. Time permitting, we'll show how this structure naturally equips this "annular Khovanov-Rozansky homology" with an action of sl_n, extending a result of Grigsby-Licata-Wehrli.
Date received: November 29, 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-47.