English

A note on acylindrical hyperbolicity of Mapping Class Groups

Geometric Topology 2015-02-10 v1 Group Theory

Abstract

The aim of this note is to give the simplest possible proof that Mapping Class Groups of closed hyperbolic surfaces are acylindrically hyperbolic, and more specifically that their curve graphs are hyperbolic and that pseudo-Anosovs act on them as loxodromic WPDs.

Keywords

Cite

@article{arxiv.1502.02176,
  title  = {A note on acylindrical hyperbolicity of Mapping Class Groups},
  author = {Piotr Przytycki and Alessandro Sisto},
  journal= {arXiv preprint arXiv:1502.02176},
  year   = {2015}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-22T08:24:37.960Z