Braiding Knots in Contact 3-Manifolds

Abstract

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.

11 pages, 7 figures

References in corpus (2)

• Markov theorem for transversal links
• The Self-Linking Number in Annulus and Pants Open Book Decompositions

Cited by in corpus (3)

• On the equivalence of Legendrian and transverse invariants in knot Floer homology
• Open Book Foliations
• Quasipositive links and Stein surfaces