The proper geometric dimension of the mapping class group

Javier Aramayona; Conchita Martínez-Pérez

doi:10.13025/28979

The proper geometric dimension of the mapping class group

Javier Aramayona
, Conchita Martínez-Pérez

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

18 Citations (Scopus)

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.

Original language	English (Ireland)
Journal	Algebraic and Geometric Topology
DOIs	https://doi.org/10.13025/28979 https://doi.org/10.2140/agt.2014.14.217
Publication status	Published - 9 Jan 2014

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10.13025/28979Licence: CC BY-NC-ND
10.2140/agt.2014.14.217

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title = "The proper geometric dimension of the mapping class group",

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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N2 - 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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JO - Algebraic and Geometric Topology

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The proper geometric dimension of the mapping class group

Abstract

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