Braids, knots and contact structures

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These notes were prepared to supplement the talk that I gave on Feb 19, 2004, at the First East Asian School of Knots and Related Topics, Seoul, South Korea. In this article I review aspects of the interconnections between braids, knots and contact structures on Euclidean 3-space. I discuss my recent work with William Menasco (arXiv math.GT/0310279)} and (arXiv math.GT/0310280). In the latter we prove that there are distinct transversal knot types in contact 3-space having the same topological knot type and the same Bennequin invariant.
10 pages, 5 figures

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Geometric Topology, Differential Geometry, 57M25, 57M50

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http://salesiana.dossiersoluciones.com/handle/123456789/70628

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403489
 http://arxiv.org/abs/math/0403489

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arXiv