Vol. 253, No. 2, 2011

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Braiding knots in contact 3-manifolds

Elena Pavelescu

Vol. 253 (2011), No. 2, 475–487
Abstract

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

Keywords
braid, transverse link, open book decomposition
Mathematical Subject Classification 2010
Primary: 57M50
Milestones
Received: 12 January 2011
Accepted: 24 October 2011
Published: 21 January 2012
Authors
Elena Pavelescu
Department of Mathematics
Occidental College
1600 Campus Road
Los Angeles 90041
United States