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Maximal Thurston-Bennequin number of  adequate links
Author(s):
Tamás
Kálmán
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2969-2977.
MSC (2000):
Primary 57M25;
Secondary 53D12
Posted:
April 7, 2008
MathSciNet review:
2399065
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Additional information
Abstract:
The class of  adequate links contains both alternating and positive links. Generalizing results of Tanaka (for the positive case) and Ng (for the alternating case), we construct fronts of an arbitrary  adequate link  so that the diagram has a ruling; therefore its Thurston-Bennequin number is maximal among Legendrian representatives of  . We derive consequences for the Kauffman polynomial and Khovanov homology of  adequate links.
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Additional Information:
Tamás
Kálmán
Affiliation:
Graduate School of Mathematics, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan
Email:
kalman@ms.u-tokyo.ac.jp
DOI:
10.1090/S0002-9939-08-09478-1
PII:
S 0002-9939(08)09478-1
Received by editor(s):
November 9, 2006
Posted:
April 7, 2008
Communicated by:
Daniel Ruberman
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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