Braids, Transversal links and the Khovanov-Rozansky Theory

Details Braids, Transversal links and the Khovanov-Rozansky Theory Braids, Transversal links and the Khovanov-Rozansky Theory

2005-08-02

arxiv.org/abs/math/0508064v3

Mathematics

Geometric Topology

26 pages, 15 figures. Third version: modified proofs of Lemma 3.1 and Proposition 4.2, also corrected some typos and inconsist

Scientific paper

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 $S^3$ 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.

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