Some differentials on Khovanov-Rozansky homology
Geometric Topology
2007-05-23 v2 Quantum Algebra
Abstract
We study the relationship between the HOMFLY and sl(N) knot homologies introduced by Khovanov and Rozansky. For each N>0, we show there is a spectral sequence which starts at the HOMFLY homology and converges to the sl(N) homology. As an application, we determine the KR-homology of knots with 9 crossings or fewer.
Keywords
Cite
@article{arxiv.math/0607544,
title = {Some differentials on Khovanov-Rozansky homology},
author = {Jacob Rasmussen},
journal= {arXiv preprint arXiv:math/0607544},
year = {2007}
}
Comments
55 pages, 18 figures. v2: Corrected gradings in the statement of proposition 7.6