149 citations · 595 across the 59 of their papers we have counts for
5 papers · 1 filter
Induced quasi-isometries of hyperbolic spaces, Markov chains, and acylindrical hyperbolicity
Antoine Goldsborough, Mark Hagen, Harry Petyt +2
We show that quasi-isometries of (well-behaved) hierarchically hyperbolic groups descend to quasi-isometries of their maximal hyperbolic space. This has two applications, one relat…
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…
Hyperbolic Heegaard splittings and Dehn twists
Peter Feller, Alessandro Sisto, Gabriele Viaggi
We consider the family of Heegaard splittings of genus at least two which are defined via a gluing map that is the -th power of the Dehn twist along a curve that satisfies a…
Random divergence of groups
Antoine Goldsborough, Alessandro Sisto
The divergence of a group is a quasi-isometry invariant defined in terms of pairs of points and lengths of paths avoiding a suitable ball around the identity. In this paper we stud…
On the Čech cohomology of Morse boundaries
Elia Fioravanti, Annette Karrer, Alessandro Sisto +1
We consider cusped hyperbolic manifolds, and compute Čech cohomology groups of the Morse boundaries of their fundamental groups. In particular, we show that the reduced Čech co…