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arXiv 2013-03-08 0 views

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

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

Original · EN

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.

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