Maximal Thurston-Bennequin number of +adequate links

Details Maximal Thurston-Bennequin number of +adequate links Maximal Thurston-Bennequin number of +adequate links

2006-10-22

arxiv.org/abs/math/0610659v1

Mathematics

Geometric Topology

10 pages

Scientific paper

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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