4 papers · 1 filter
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-…
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 $(…