Stabilization in the braid groups II: Transversal simplicity of knots

Mathematics – Geometric Topology

Scientific paper

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This is the version published by Geometry & Topology on 4 October 2006. Part I (arXiv:math/0310279) is also published in this

Scientific paper

10.2140/gt.2006.10.1425

The main result of this paper is a negative answer to the question: are all
transversal knot types transversally simple? An explicit infinite family of
examples is given of closed 3-braids that define transversal knot types that
are not transversally simple. The method of proof is topological and indirect.

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