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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Maximal Thurston-Bennequin number of $ +$adequate links


Author: Tamás Kálmán
Journal: Proc. Amer. Math. Soc. 136 (2008), 2969-2977
MSC (2000): Primary 57M25; Secondary 53D12
Published electronically: April 7, 2008
MathSciNet review: 2399065
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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 $ A$ so that the diagram has a ruling; therefore its Thurston-Bennequin number is maximal among Legendrian representatives of $ A$. 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: http://dx.doi.org/10.1090/S0002-9939-08-09478-1
PII: S 0002-9939(08)09478-1
Received by editor(s): November 9, 2006
Published electronically: April 7, 2008
Communicated by: Daniel Ruberman
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.