Geodesic
Stabilization in the braid groups II: Transversal simplicity of knots
Birman, Joan S1 ; Menasco, William W2
1 Department of Mathematics, Barnard College, Columbia University, 2990 Broadway, New York, NY 10027, USA
2 Department of Mathematics, University at Buffalo, Buffalo, NY 14260, USA
Geometry & topology, Tome 10 (2006) no. 3, pp. 1425-1452.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2006.10.1425
Keywords: contact structures, tight, transversal knot type, 3-braids, flypes, Bennequin invariant, transversally simple

Birman, Joan S 1 ; Menasco, William W 2

1 Department of Mathematics, Barnard College, Columbia University, 2990 Broadway, New York, NY 10027, USA
2 Department of Mathematics, University at Buffalo, Buffalo, NY 14260, USA 
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Birman, Joan S; Menasco, William W. Stabilization in the braid groups II: Transversal simplicity of knots. Geometry & topology, Tome 10 (2006) no. 3, pp. 1425-1452. doi : 10.2140/gt.2006.10.1425. http://geodesic.mathdoc.fr/articles/10.2140/gt.2006.10.1425/

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