Braids, transversal links and the Khovanov-Rozansky Theory

Wu, Hao

doi:10.1090/S0002-9947-08-04339-0

Braids, transversal links and the Khovanov-Rozansky Theory
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Trans. Amer. Math. Soc. 360 (2008), 3365-3389 Request permission

Abstract:

We establish some inequalities for 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 are 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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