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

Spencer Dowdall, Matthew G. Durham, Christopher J. Leininger +1

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 hyperboli…