Braiding Knots in Contact 3-Manifolds

Details Braiding Knots in Contact 3-Manifolds Braiding Knots in Contact 3-Manifolds

2009-02-21

arxiv.org/abs/0902.3715v2

Mathematics

Geometric Topology

11 pages, 7 figures

Scientific paper

We show that a transverse link in a contact structure supported by an open
book decomposition can be transversely braided. We also generalize Markov's
theorem on when the closures of two braids represent (transversely) isotopic
links.

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