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.
Citation
Joan S Birman. William W Menasco. "Stabilization in the braid groups II: Transversal simplicity of knots." Geom. Topol. 10 (3) 1425 - 1452, 2006. https://doi.org/10.2140/gt.2006.10.1425
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