7 papers
Distinguishing Gromov-Thurston manifolds using algebraic Dehn fillings
Alessandro Sisto, Gabriele Viaggi
We develop criteria to distinguish the homotopy types of Gromov-Thurston manifolds. Our approach is based on a description of their fundamental groups as virtual Dehn fillings of r…
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-…
Power quotients of surface groups and mapping class groups
Rémi Coulon, Alessandro Sisto, Henry Wilton
Let be the fundamental group of a closed, orientable, hyperbolic surface . The -power quotient, , is the quotient of by the th powers of simple closed curves…
Non-solutions to mixed equations in acylindrically hyperbolic groups coming from random walks
Henry Bradford, Alessandro Sisto
A mixed equation in a group is given by a non-trivial element of the free product , and a solution is some such that is the identity.…
Cohomological characterisation of hyperbolicity
Francesco Milizia, Nansen Petrosyan, Alessandro Sisto +1
For any geodesic metric space , we give a complete cohomological characterisation of the hyperbolicity of in terms of vanishing of its second -cohomology. We…
Effective hyperbolization and length bounds for Heegaard splittings
Peter Feller, Alessandro Sisto, Gabriele Viaggi
We consider 3-manifolds given as Heegaard splittings with the aim to describe the hyperbolic metric of under topological conditions on the splitting guaranteei…
Drilling hyperbolic groups
Daniel Groves, Peter Haïssinsky, Jason F. Manning +3
Given a hyperbolic group and a maximal infinite cyclic subgroup , we define a {\it drilling of along }, which is a relatively hyperbolic group pair $(…