An invariant of tangle cobordisms

  title={An invariant of tangle cobordisms},
  author={Mikhail Khovanov},
  journal={Transactions of the American Mathematical Society},
  • M. Khovanov
  • Published 28 July 2002
  • Mathematics
  • Transactions of the American Mathematical Society
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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