JournalscmhVol. 99, No. 1pp. 149–228

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

  • Spencer Dowdall

    Vanderbilt University, Nashville, USA

  • Matthew G. Durham

    University of California, Riverside, USA

  • Christopher J. Leininger

    Rice University, Houston, USA

  • Alessandro Sisto

    Heriot-Watt University, Edinburgh, UK
Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity cover
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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.

Cite this article

Spencer Dowdall, Matthew G. Durham, Christopher J. Leininger, Alessandro Sisto, Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity. Comment. Math. Helv. 99 (2024), no. 1, pp. 149–228

DOI 10.4171/CMH/568