The mapping class group and a theorem of Masur-Wolf
type: Item
instance of: scholarly article
title: The mapping class group and a theorem of Masur-Wolf
zbMATH Open document ID: 0941.32013
DOI: 10.1016/S0166-8641(98)00040-6
author: John D. McCarthy
author: Athanase Papadopoulos
published in: Topology and its Applications
publication date: 2000-08-03T00:00:00Z
review text: Masur and Wolf proved in 1995 that the Teichmüller space of genus \(g>1\) surface with the Teichmüller metric is not a Gromov hyperbolic space. This paper provides a new proof of this result based upon a study of the action of the mapping class group on Teichmüller space. For more details, in order for Teichmüller space to be Gromov hyperbolic, the isometries of Teichmüller space must be governed by Gromov's classification of isometries of Gromov hyperbolic space. The main result is obtained by showing that this classification is incompatible with the structure of the mapping class group.
reviewed by: Lixin Liu
Mathematics Subject Classification ID: 32G15
Mathematics Subject Classification ID: 32Q45
zbMATH DE Number: 1340411
zbMATH Keywords: Teichmüller space
zbMATH Keywords: Gromov hyperbolic
MaRDI profile type: Publication
full work available at URL: s0166-8641(98)00040-6
OpenAlex ID: W1977664281
description: scientific article; zbMATH DE number 1340411