45:07
publiée le 10 juin 2026
Residual finiteness of graphs of free groups with cyclic edge groups
De Zachary Munro
Incubulable negatively curved 3-pseudomanifold groups
Apparaît dans la collection : Geometric Group Theory around Cube Complexes / La Théorie Geometrique des Groupes autour des Complexes Cubiques
We give examples of hyperbolic three-manifolds with geodesic boundary so the spaces obtained by identifying boundary components to points are negatively curved but contain infinite subgroups with Property (T). In particular they cannot be cubulated, so we obtain incubulable hyperbolic groups with Pontryagin sphere boundary. We also deduce consequences for the possible relative cubulations of the three-manifold groups. This is joint work with Lorenzo Ruffoni.
