Khovanov-Seidel quiver algebras and bordered Floer homology

Denis Auroux, J. Elisenda Grigsby, Stephan Martin Wehrli

Research output: Contribution to journalArticle

5 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1-55
Number of pages55
JournalSelecta Mathematica, New Series
Volume20
Issue number1
DOIs
StatePublished - Jan 2014

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Keywords

  • Braids
  • Heegaard Floer homology
  • Khovanov homology

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

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