Matrix factorizations and link homology II
arXiv:math/0505056 · doi:10.2140/gt.2008.12.1387
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.
37 pages, 20 figures; version 2 corrects an inaccuracy in the proof of Proposition 3