Stabilization in the braid groups II: Transversal simplicity of knots
arXiv:math/0310280 · doi:10.2140/gt.2006.10.1425
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.
This is the version published by Geometry & Topology on 4 October 2006. Part I (arXiv:math/0310279) is also published in this volume