Matrix factorizations and link homology II
Quantum Algebra
2014-11-11 v2 Geometric Topology
Abstract
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.
Cite
@article{arxiv.math/0505056,
title = {Matrix factorizations and link homology II},
author = {Mikhail Khovanov and Lev Rozansky},
journal= {arXiv preprint arXiv:math/0505056},
year = {2014}
}
Comments
37 pages, 20 figures; version 2 corrects an inaccuracy in the proof of Proposition 3