We show that for any lattice Veech group in the mapping class group Mod.S/of a closed surface S, the associated 1S-extension group is a hierarchically hyperbolic group. As a consequence, we prove that any such extension group is quasi-isometrically rigid.
CITATION STYLE
Dowdall, S., Durham, M. G., Leininger, C. J., & Sisto, A. (2024). Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity. Commentarii Mathematici Helvetici, 99(1), 149–228. https://doi.org/10.4171/CMH/568
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