Braids, Transversal links and the Khovanov-Rozansky Theory

Hao Wu

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Braids, Transversal links and the Khovanov-Rozansky Theory

Hao Wu

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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 $S^3$ 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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Hao Wu. 2006-05-26. Braids, Transversal links and the Khovanov-Rozansky Theory. https://arxiv.org/abs/math/0508064

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