On a generalization of Cannon’s conjecture for cubulated hyperbolic groups
Abstract
Abstract We show that cubulated hyperbolic groups with spherical boundary of dimension 3 or at least 5 are virtually fundamental groups of closed, orientable, aspherical manifolds, provided that there are sufficiently many quasi-convex, codimension-1 subgroups whose limit sets are locally flat subspheres. The proof is based on ideas used by Markovic in his work on Cannon’s conjecture for cubulated hyperbolic groups with 2-sphere boundary.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematics and Applications
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Mathematische Annalen
- Publisher
- Springer Science and Business Media LLC
- Volume
- 396
- Issue
- 2
- Publication date
- 24 September 2026
- Language
- EN