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The proper geometric dimension of the mapping class group

Javier Aramayona and Conchita Martínez-Pérez
Algebraic & Geometric Topology 14 (2014) 217–227
DOI: 10.2140/agt.2014.14.217
Abstract

We show that the mapping class group of a closed surface admits a cocompact classifying space for proper actions of dimension equal to its virtual cohomological dimension.

Keywords
mapping class groups, classifying space for proper actions, cohomological dimension
Mathematical Subject Classification 2010
Primary: 20F34, 20F65
Secondary: 20J05
References
Publication
Received: 20 February 2013
Accepted: 22 July 2013
Preview posted: 21 November 2013
Published: 9 January 2014
Authors
Javier Aramayona
School of Mathematics, Statistics and Applied Mathematics
National University of Ireland Galway
University Road
Galway
Ireland
Conchita Martínez-Pérez
Departamento de Matemáticas
Universidad de Zaragoza
50009 Zaragoza
Spain