Braids, Transversal links and the Khovanov-Rozansky Theory
Geometric Topology
2007-05-23 v3 Symplectic Geometry
Abstract
We establish some inequalities about the Khovanov-Rozansky cohomologies of braids. These give new upper bounds of the self-linking numbers of transversal links in standard contact which is sharper than the well known bound given by the HOMFLY polynomial. We also introduce a sequence of transversal link invariants, and discuss some of their properties.
Keywords
Cite
@article{arxiv.math/0508064,
title = {Braids, Transversal links and the Khovanov-Rozansky Theory},
author = {Hao Wu},
journal= {arXiv preprint arXiv:math/0508064},
year = {2007}
}
Comments
26 pages, 15 figures. Third version: modified proofs of Lemma 3.1 and Proposition 4.2, also corrected some typos and inconsistency in conventions