Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity
Geometric Topology
2024-03-08 v2 Group Theory
Abstract
We show that for any lattice Veech group in the mapping class group of a closed surface , the associated --extension group is a hierarchically hyperbolic group. As a consequence, we prove that any such extension group is quasi-isometrically rigid.
Keywords
Cite
@article{arxiv.2111.00685,
title = {Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity},
author = {Spencer Dowdall and Matthew G. Durham and Christopher J. Leininger and Alessandro Sisto},
journal= {arXiv preprint arXiv:2111.00685},
year = {2024}
}
Comments
v2: 60 pages, 10 figures. This is the sequel to arXiv:2006.16425. Updates to incorporate referee comments. Final version accepted for publication in Commentarii Mathematici Helvetici