7 citations · 32 across the 14 of their papers we have counts for
4 papers · 1 filter
Hyperbolic models for CAT(0) spaces
Harry Petyt, Davide Spriano, Abdul Zalloum
We introduce two new tools for studying CAT(0) spaces: \emph{curtains}, versions of cubical hyperplanes; and the \emph{curtain model}, a counterpart of the curve graph. These tools…
Equivariant hierarchically hyperbolic structures for 3-manifold groups via quasimorphisms
Mark Hagen, Jacob Russell, Alessandro Sisto +1
Behrstock, Hagen, and Sisto classified 3-manifold groups admitting a hierarchically hyperbolic space structure. However, these structures were not always equivariant with respect t…
Regularity of quasigeodesics characterises hyperbolicity
Sam Hughes, Patrick S. Nairne, Davide Spriano
We characterise hyperbolic groups in terms of quasigeodesics in the Cayley graph forming regular languages. We also obtain a quantitative characterisation of hyperbolicity of geode…
A note on subgroups of the Loch Ness Monster Surface's Mapping Class Group
Yannick Krifka, Davide Spriano
In this short note we give an elementary proof of the fact that every countable group is a subgroup of the mapping class group of the Loch Ness monster surface.