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

Spencer Dowdall, Matthew G. Durham, Christopher 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 languageEnglish
JournalCommentarii Mathematici Helvetici
Publication statusAccepted/In press - 7 Sept 2022

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