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

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

doi:10.4171/cmh/568

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

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

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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.

Original language	English
Pages (from-to)	149-228
Number of pages	80
Journal	Commentarii Mathematici Helvetici
Volume	99
Issue number	1
DOIs	https://doi.org/10.4171/cmh/568
Publication status	Published - 27 Feb 2024

Keywords

Veech groups
hierarchical hyperbolicity
mapping class group
surface bundle

ASJC Scopus subject areas

General Mathematics

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KW - surface bundle

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

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Keywords

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