Resumen de Khovanov–Seidel quiver algebras and bordered Floer homology

Denis Auroux, J. Elisenda Grigsby, Stephan M. Wehrli

• 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.