A note on acylindrical hyperbolicity of mapping class groups

Piotr Przytycki, Alessandro Sisto

Research output: Chapter in Book/Report/Conference proceedingChapter


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.
Original languageEnglish
Title of host publicationHyperbolic Geometry and Geometric Group Theory
EditorsKoji Fujiwara, Sadayoshi Kojima, Ken'ichi Ohshika
PublisherMathematical Society of Japan
Number of pages10
ISBN (Print)978-4-86497-043-3, 978-4-86497-042-6
Publication statusPublished - 2017

Publication series

NameAdvanced Studies in Pure Mathematics
PublisherMathematical Society of Japan


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