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Matrix factorizations and link homology II

To a presentation of an oriented link as the closure of a braid we assign a complex of bigraded vector spaces. The Euler characteristic of this complex (and of its triply-graded cohomology groups) is the HOMFLYPT polynomial of the link. We show that the dimension of each cohomology group is a link invariant.

preprint2006arXivOpen access
Mikhail KhovanovLev Rozansky
math.QAmath.GT
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Mikhail KhovanovLev Rozansky

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