An invariant of tangle cobordisms

Khovanov, Mikhail

doi:10.1090/S0002-9947-05-03665-2

An invariant of tangle cobordisms
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by Mikhail Khovanov PDF

Trans. Amer. Math. Soc. 358 (2006), 315-327 Request permission

Abstract:

We construct a new invariant of tangle cobordisms. The invariant of a tangle is a complex of bimodules over certain rings, well-defined up to chain homotopy equivalence. The invariant of a tangle cobordism is a homomorphism between complexes of bimodules assigned to boundaries of the cobordism.

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