Title: Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity.
Authors: Dowdall, Spencer; Durham, Matthew G.; Leininger, Christopher J.; Sisto, Alessandro
Abstract: We show that for any lattice Veech group in the mapping class group Mod.S / of a closed surface S, the associated π1S-extension group is a hierarchically hyperbolic group. As a consequence, we prove that any such extension group is quasi-isometrically rigid.
Subjects: GROUP extensions (Mathematics)
Publication: Commentarii Mathematici Helvetici, 2024, Vol 99, Issue 1, p149
ISSN: 0010-2571
Publication type: Academic Journal
DOI: 10.4171/CMH/568

Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity.

Dowdall, Spencer; Durham, Matthew G.; Leininger, Christopher J.; Sisto, Alessandro