Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity
Spencer Dowdall
Vanderbilt University, Nashville, USAMatthew G. Durham
University of California, Riverside, USAChristopher J. Leininger
Rice University, Houston, USAAlessandro Sisto
Heriot-Watt University, Edinburgh, UK
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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