An EZ-structure for the mapping class group
Geometric Topology
2025-10-28 v3
Abstract
We construct a boundary for the mapping class group Mod(S) of a surface S of finite type. The action of Mod(S) on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ-structure for Mod(S).
Cite
@article{arxiv.2505.18808,
title = {An EZ-structure for the mapping class group},
author = {Ursula Hamenstädt},
journal= {arXiv preprint arXiv:2505.18808},
year = {2025}
}
Comments
Main result slightly strengthened. Material partially reorganized, proofs simplified and streamlined. Small corrections. 48 pages