Braids, Transversal Knots and the Khovanov-rozansky Theory
نویسنده
چکیده
We establish some inequalities about the Khovanov-Rozansky cohomologies of braids. These give new upper bounds of the self-linking numbers of transversal knots in standard contact S which is sharper than the well known bound given by the HOMFLY polynomial. We also introduce a sequence of transversal knot invariants, and discuss some of their properties.
منابع مشابه
Braids, Transversal Links and the Khovanov-rozansky Theory
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 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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