On the genericity of pseudo-Anosov braids I: rigid braids

Sandrine Caruso (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We prove that, in the l-ball of the Cayley graph of the braid group with n ≥ 3 strands, the proportion of rigid pseudo-Anosov braids is bounded below independently of l by a positive value.

Mots clés: genericity; graph; braid theory

Domaines: Topologie géométrique [math.GT]

Sandrine Caruso. On the genericity of pseudo-Anosov braids I: rigid braids. Groups, Geometry, and Dynamics, 2017, 11 (2), pp.533-547. ⟨10.4171/GGD/406⟩. ⟨hal-00866036⟩