Open Access
VOL. 73 | 2017 A note on acylindrical hyperbolicity of Mapping Class Groups
Piotr Przytycki, Alessandro Sisto

Editor(s) Koji Fujiwara, Sadayoshi Kojima, Ken'ichi Ohshika

Adv. Stud. Pure Math., 2017: 255-264 (2017) DOI: 10.2969/aspm/07310255

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.

Information

Published: 1 January 2017
First available in Project Euclid: 4 October 2018

zbMATH: 07272053
MathSciNet: MR3728501

Digital Object Identifier: 10.2969/aspm/07310255

Rights: Copyright © 2017 Mathematical Society of Japan

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