149 citations · 595 across the 59 of their papers we have counts for
3 papers · 2 filters
Stable cubulations, bicombings, and barycenters
Matthew G. Durham, Yair N. Minsky, Alessandro Sisto
We prove that the hierarchical hulls of finite sets of points in mapping class groups and Teichmüller spaces are stably approximated by a CAT(0) cube complexes, strengthening a res…
A combinatorial take on hierarchical hyperbolicity and applications to quotients of mapping class groups
Jason Behrstock, Mark Hagen, Alexandre Martin +1
We give a simple combinatorial criterion, in terms of an action on a hyperbolic simplicial complex, for a group to be hierarchically hyperbolic. We apply this to show that quotient…
Central extensions and bounded cohomology
Roberto Frigerio, Alessandro Sisto
It was shown by Gersten that a central extension of a finitely generated group is quasi-isometrically trivial provided that its Euler class is bounded. We say that a finitely gener…