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arXiv · 1107.2841

On Khovanov-Seidel quiver algebras and bordered Floer homology

Denis Auroux·J. Elisenda Grigsby·Stephan M. Wehrli
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Abstract

We discuss a relationship between Khovanov- and Heegaard Floer-type homology theories for braids. Explicitly, we define a filtration on the bordered Heegaard-Floer homology bimodule associated to the double-branched cover of a braid and show that its associated graded bimodule is equivalent to a similar bimodule defined by Khovanov and Seidel.

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Denis Auroux, J. Elisenda Grigsby, Stephan M. Wehrli. 2011-07-14. On Khovanov-Seidel quiver algebras and bordered Floer homology. https://arxiv.org/abs/1107.2841

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