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Braids, transversal links and the Khovanov-Rozansky Theory |
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| Authors: | Hao Wu |
| Institution: | Department of Mathematics and Statistics, Lederle Graduate Research Tower, 710 North Pleasant Street, University of Massachusetts, Amherst, Massachusetts 01003-9305 |
| 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  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. |
| Keywords: | Braid transversal knot knot homology matrix factorization |
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