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Functoriality of Khovanov homology

Published 18 May 2015 in math.AT and math.GT | (1505.04545v3)

Abstract: In this paper we prove that every Khovanov homology associated to a Frobenius algebra of rank $2$ can be modified in such a way as to produce a TQFT on oriented links, that is a monoidal functor from the category of cobordisms of oriented links to the homotopy category of complexes.

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