On the Thurston-Bennequin invariant of graph divide links

研究成果: Article査読

4 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)487-495
ページ数9
ジャーナルMathematical Proceedings of the Cambridge Philosophical Society
139
3
DOI
出版ステータスPublished - 2005 11
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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