The Khovanov-Rozansky Cohomology and Bennequin Inequalities
Geometric Topology
2007-05-23 v2 Symplectic Geometry
Abstract
We review Bennequin type inequalities established using various versions of the Khovanov-Rozansky cohomology. Then we give a new proof of a Bennequin type inequality established by the author, and derive new Bennequin type inequalities for knots using Gornik's version of the Khovanov-Rozansky cohomology, which generalize those established by Shumakovitch, Plamenevskaya and Kawamura using the Rasmussen invariant.
Keywords
Cite
@article{arxiv.math/0703210,
title = {The Khovanov-Rozansky Cohomology and Bennequin Inequalities},
author = {Hao Wu},
journal= {arXiv preprint arXiv:math/0703210},
year = {2007}
}
Comments
10 pages, 6 figures