English

Maximal Thurston-Bennequin number of +adequate links

Geometric Topology 2007-05-23 v1 Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.math/0610659,
  title  = {Maximal Thurston-Bennequin number of +adequate links},
  author = {Tamás Kálmán},
  journal= {arXiv preprint arXiv:math/0610659},
  year   = {2007}
}

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10 pages