Braids, transversal links and the Khovanov-Rozansky Theory
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- by Hao Wu PDF
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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.References
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Additional Information
- Hao Wu
- Affiliation: Department of Mathematics and Statistics, Lederle Graduate Research Tower, 710 North Pleasant Street, University of Massachusetts, Amherst, Massachusetts 01003-9305
- Address at time of publication: Department of Mathematics, The George Washington University, Monroe Hall, Room 240, 2115 G Street, N.W., Washington, DC 20052
- Email: wu@math.umass.edu, haowu@gwu.edu
- Received by editor(s): January 20, 2006
- Received by editor(s) in revised form: May 24, 2006
- Published electronically: February 27, 2008
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 3365-3389
- MSC (2000): Primary 57M25, 57R17
- DOI: https://doi.org/10.1090/S0002-9947-08-04339-0
- MathSciNet review: 2386230