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Knots in Washington XXXIII; Categorification of Knots, Algebras, and Quandles; Quantum Computing
December 2-4, 2011
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU),Mark Kidwell (U.S. Naval Academy and GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Khovanov's diagram algebras and bordered Floer homology
by
Stephan Wehrli
Syracuse University
Coauthors: Denis Auroux, J. Elisenda Grigsby

I will discuss a connection between certain Khovanov- and Heegaard Floer-type invariants for knots, braids, and 3-manifolds. Specifically, I will explain how the 1-strand part of the bordered Floer bimodule associated to the branched double-cover of a braid is related to a similar bimodule defined by Khovanov and Seidel.

I will further present a partial result relating the k-strand part of the bordered Floer algebra to one of the cellular algebras studied by Chen-Khovanov and Brundan-Stroppel.

Date received: November 18, 2011


Copyright © 2011 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 # cbdt-23.