Matrix factorizations and link homology II

Details Matrix factorizations and link homology II Matrix factorizations and link homology II

2005-05-03

arxiv.org/abs/math/0505056v2

Mathematics

Quantum Algebra

37 pages, 20 figures; version 2 corrects an inaccuracy in the proof of Proposition 3

Scientific paper

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.

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