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2014 The proper geometric dimension of the mapping class group
Javier Aramayona, Conchita Martínez-Pérez
Algebr. Geom. Topol. 14(1): 217-227 (2014). 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.

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Javier Aramayona. Conchita Martínez-Pérez. "The proper geometric dimension of the mapping class group." Algebr. Geom. Topol. 14 (1) 217 - 227, 2014. https://doi.org/10.2140/agt.2014.14.217

Information

Received: 20 February 2013; Accepted: 22 July 2013; Published: 2014
First available in Project Euclid: 19 December 2017

zbMATH: 1354.20025
MathSciNet: MR3158758
Digital Object Identifier: 10.2140/agt.2014.14.217

Subjects:
Primary: 20F34 , 20F65
Secondary: 20J05

Keywords: classifying space for proper actions , cohomological dimension , mapping class groups

Rights: Copyright © 2014 Mathematical Sciences Publishers

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