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An invariant of tangle cobordisms
Author(s):
Mikhail
Khovanov
Journal:
Trans. Amer. Math. Soc.
358
(2006),
315-327.
MSC (2000):
Primary 57Q45
Posted:
March 18, 2005
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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:
10.1090/S0002-9947-05-03665-2
PII:
S 0002-9947(05)03665-2
Received by editor(s):
February 20, 2003
Received by editor(s) in revised form:
March 1, 2004
Posted:
March 18, 2005
Copyright of article:
Copyright
2005,
American Mathematical Society
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