From the 1 of 10 linked papers with an AI index.
10 papers
Bounded cohomology, quotient extensions, and hierarchical hyperbolicity
Francesco Fournier-Facio, Giorgio Mangioni, Alessandro Sisto
The authors introduce bounded central extensions (those whose Euler class is represented by a bounded cocycle) and prove that such extensions of hierarchically hyperbolic groups (H…
Cusped spaces for hierarchically hyperbolic groups, and applications to Dehn filling quotients
Giorgio Mangioni, Alessandro Sisto
We introduce a construction that simultaneously yields cusped spaces of relatively hyperbolic groups, and spaces quasi-isometric to Teichmueller metrics. We use this to study Dehn-…
Geometric Inverse Semigroup Theory: a note on the Milnor-Schwarz Lemma for inverse monoids
Giorgio Mangioni, Francesco Tesolin
We generalise the Milnor-Schwarz lemma to inverse monoids acting on presheaves of geodesic metric spaces. We provide two proofs of this fact: one only uses elementary techniques, i…
Random quotients preserve acylindrical and hierarchical hyperbolicity
Carolyn Abbott, Daniel Berlyne, Giorgio Mangioni +2
We propose a new model for random quotients of groups using independent random walks. In this model, we show that random quotients of acylindrical hyperbolic groups asymptotically…
A Combinatorial Structure for Many Hierarchically Hyperbolic Spaces
Mark Hagen, Giorgio Mangioni, Alessandro Sisto
The combinatorial hierarchical hyperbolicity criterion is a very useful way of constructing new hierarchically hyperbolic spaces (HHSs). We show that, conversely, HHSs satisfying n…
A combination theorem for hierarchically quasiconvex subgroups, and application to geometric subgroups of mapping class groups
Giorgio Mangioni
We provide sufficient conditions for two subgroups of a hierarchically hyperbolic group to generate an amalgamated free product over their intersection. The result applies in parti…