On the genericity of pseudo-Anosov braids II: conjugations to rigid braidsReportar como inadecuado




On the genericity of pseudo-Anosov braids II: conjugations to rigid braids - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

* Corresponding author 1 IRMAR - Institut de Recherche Mathématique de Rennes

Abstract : We prove that generic elements of braid groups are pseudo-Anosov, in the following sense: in the Cayley graph of the braid group with n $\ge$ 3 strands, with respect to Garside-s generating set, we prove that the proportion of pseudo-Anosov braids in the ball of radius l tends to 1 exponentially quickly as l tends to infinity. Moreover, with a similar notion of genericity, we prove that for generic pairs of elements of the braid group, the conjugacy search problem can be solved in quadratic time. The idea behind both results is that generic braids can be conjugated -easily- into a rigid braid.

Mots-clés : théorie des tresses généricité problème de conjugaison





Autor: Sandrine Caruso - Bert Wiest -

Fuente: https://hal.archives-ouvertes.fr/



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