Denis Auroux, J. Elisenda Grigsby and Stephan M. Wehrli
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.
Journal: Selecta Mathematica, New Series
DOI: 10.1007/s00029-012-0106-2