On the Thurston-Bennequin invariant of graph divide links

Masaharu Ishikawa

doi:10.1017/S0305004105008741

On the Thurston-Bennequin invariant of graph divide links

Masaharu Ishikawa

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	487-495
Number of pages	9
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	139
Issue number	3
DOIs	https://doi.org/10.1017/S0305004105008741
Publication status	Published - 2005 Nov
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1017/S0305004105008741

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On the Thurston-Bennequin invariant of graph divide links

Abstract

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