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Transactions of the American Mathematical Society

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An invariant of tangle cobordisms


Author: Mikhail Khovanov
Journal: Trans. Amer. Math. Soc. 358 (2006), 315-327
MSC (2000): Primary 57Q45
DOI: https://doi.org/10.1090/S0002-9947-05-03665-2
Published electronically: March 18, 2005
MathSciNet review: 2171235
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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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Additional Information

Mikhail Khovanov
Affiliation: Department of Mathematics, University of California, One Shields Ave., Davis, California 95616
Email: mikhail@math.ucdavis.edu

DOI: https://doi.org/10.1090/S0002-9947-05-03665-2
Received by editor(s): February 20, 2003
Received by editor(s) in revised form: March 1, 2004
Published electronically: March 18, 2005
Article copyright: © Copyright 2005 American Mathematical Society

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