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An invariant of tangle cobordisms
Authors:Mikhail Khovanov
Institution:Department of Mathematics, University of California, One Shields Ave., Davis, California 95616
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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