Functoriality of Khovanov homology
2
TL;DRAbstract
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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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.
Keywords
Khovanov homologyMathematicsFunctorPure mathematicsRank (graph theory)HomotopyHomology (biology)Frobenius algebra
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