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 S3 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.
|ジャーナル||Mathematical Proceedings of the Cambridge Philosophical Society|
|出版ステータス||Published - 2005 11月|
ASJC Scopus subject areas
- 数学 (全般)