On the Thurston-Bennequin invariant of graph divide links
Geometric Topology
2009-11-10 v2
Abstract
In the present paper we determine the Thurston-Bennequin invariant of graph divide links, which include all closed positive braids, all divide links and certain negative twist knots. As a corollary of this and a result of P. Lisca and A.I. Stipsicz, we prove that the 3-manifold obtained from the 3-sphere by Dehn surgery along a non-trivial graph divide knot K with coefficient r carries positive, tight contact structures for every r except the Thurston-Bennequin invariant of K.
Keywords
Cite
@article{arxiv.math/0406313,
title = {On the Thurston-Bennequin invariant of graph divide links},
author = {Masaharu Ishikawa},
journal= {arXiv preprint arXiv:math/0406313},
year = {2009}
}
Comments
8 pages, 8 figures