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On the Thurston–Bennequin invariant of graph divide links
Published online by Cambridge University Press: 21 October 2005
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 $S^3$ 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.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 3 , November 2005 , pp. 487 - 495
- Copyright
- 2005 Cambridge Philosophical Society
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