Sutured Khovanov homology, Hochschild homology, and the Ozsvath-Szabo spectral sequence

Abstract

In 2001, Khovanov and Seidel constructed a faithful action of the (m+1)-strand braid group on the derived category of left modules over a quiver algebra, A_m. We interpret the Hochschild homology of the Khovanov-Seidel braid invariant as a direct summand of the sutured Khovanov homology of the annular braid closure.

27 pages, 11 figures

References in corpus (3)

• Floer homology and knot complements
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• An invariant of tangle cobordisms via subquotients of arc rings