Mapping class groups are quasicubical
Metric Geometry
2024-07-02 v3 Group Theory
Abstract
It is proved that the mapping class group of any closed surface with finitely many marked points is quasiisometric to a CAT(0) cube complex. We provide two distinct proofs, one tailored to mapping class groups, and one applying to a larger class of groups.
Cite
@article{arxiv.2112.10681,
title = {Mapping class groups are quasicubical},
author = {Harry Petyt},
journal= {arXiv preprint arXiv:2112.10681},
year = {2024}
}
Comments
28 pages. v3: Accepted version. v2: Improved exposition