Stabilization in the braid groups II: Transversal simplicity of knots
Geometric Topology
2009-03-02 v4 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0310280,
title = {Stabilization in the braid groups II: Transversal simplicity of knots},
author = {Joan S Birman and William W Menasco},
journal= {arXiv preprint arXiv:math/0310280},
year = {2009}
}
Comments
This is the version published by Geometry & Topology on 4 October 2006. Part I (arXiv:math/0310279) is also published in this volume