The proper geometric dimension of the mapping class group
Geometric Topology
2024-09-17 v2 Group Theory
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.
Cite
@article{arxiv.1302.4238,
title = {The proper geometric dimension of the mapping class group},
author = {Javier Aramayona and Conchita Martínez-Pérez},
journal= {arXiv preprint arXiv:1302.4238},
year = {2024}
}
Comments
In the published version of this article, one of the two arguments we gave for Corollary 1.3 made an incorrect use of Harer's spine, which is in fact only valid for $n = 1$. In this version, which supersedes the published version, we have included only the other argument, embedded in the paragraph before Corollary 1.3