Year: 2026
Type: article
Abstract: : It is proved that the mapping class group of any closed surface with finitely many marked points is quasiisometric to a $\operatorname{CAT}(0)$ cube complex. We provide two distinct proofs, one tailored to mapping class groups, and one applying to a larger class of groups.
Source: American Journal of Mathematics
Author: Harry Petyt
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4226098439