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Braids, transversal links and the Khovanov-Rozansky Theory
Author(s):
Hao
Wu
Journal:
Trans. Amer. Math. Soc.
360
(2008),
3365-3389.
MSC (2000):
Primary 57M25, 57R17
Posted:
February 27, 2008
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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  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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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
DOI:
10.1090/S0002-9947-08-04339-0
PII:
S 0002-9947(08)04339-0
Keywords:
Braid,
transversal knot,
knot homology,
matrix factorization
Received by editor(s):
January 20, 2006
Received by editor(s) in revised form:
May 24, 2006
Posted:
February 27, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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