A positive proportion of elements of mapping class groups is pseudo-Anosov

Author:

Cumplido María12,Wiest Bert1

Affiliation:

1. Univ Rennes, CNRS; IRMAR - UMR 6625 F-35000 Rennes France

2. Depto. de Álgebra; Instituto de Matemáticas (IMUS); Universidad de Sevilla; Av. Reina Mercedes s/n 41012 Sevilla Spain

Funder

Université de Rennes 1

FEDER

Publisher

Wiley

Subject

General Mathematics

Reference11 articles.

1. A hyperbolic Out(Fn)-complex;Bestvina;Groups Geom. Dyn.,2010

2. Quasi-homomorphisms on mapping class groups;Bestvina;Glas. Mat. Ser. III,2007

3. Tight geodesics in the curve complex;Bowditch;Invent. Math.,2008

4. On the genericity of pseudo-Anosov braids II: conjugations to rigid braids;Caruso;Groups Geom. Dyn.,2017

5. Current twisting and nonsingular matrices;Clay;Comment. Math. Helv.,2012

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1. Pseudo-Anosovs are exponentially generic in mapping class groups;Geometry & Topology;2024-07-18

2. Smörgåsbord;Progress in Mathematics;2022

3. Introduction;Progress in Mathematics;2022

4. Genericity of pseudo-Anosov mapping classes, when seen as mapping classes;L’Enseignement Mathématique;2021-05-05

5. Problems, questions, and conjectures about mapping class groups;P SYMP PURE MATH;2019

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