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Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity (2111.00685v2)
Published 1 Nov 2021 in math.GT and math.GR
Abstract: We show that for any lattice Veech group in the mapping class group $\mathrm{Mod}(S)$ of a closed surface $S$, the associated $\pi_1 S$--extension group is a hierarchically hyperbolic group. As a consequence, we prove that any such extension group is quasi-isometrically rigid.