Sutured Khovanov homology, Hochschild homology, and the Ozsváth-Szabó spectral sequence

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

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, Am. 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.

ArXiv: 1303.1986