Maximal Thurston–Bennequin number of +adequate links

Kálmán, Tamás

doi:10.1090/S0002-9939-08-09478-1

Maximal Thurston–Bennequin number of $+$adequate links
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by Tamás Kálmán

Proc. Amer. Math. Soc. 136 (2008), 2969-2977

DOI: https://doi.org/10.1090/S0002-9939-08-09478-1

Published electronically: April 7, 2008

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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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