On the Thurston-Bennequin invariant of graph divide links

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)487-495
Number of pages9
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume139
Issue number3
DOIs
Publication statusPublished - 2005 Nov 1
Externally publishedYes

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Divides
Knot
Invariant
Graph in graph theory
Dehn Surgery
Contact Structure
Braid
Twist
Corollary
Closed
Coefficient

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the Thurston-Bennequin invariant of graph divide links. / Ishikawa, Masaharu.

In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 139, No. 3, 01.11.2005, p. 487-495.

Research output: Contribution to journalArticle

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