On hyperbolic groups with spheres as boundary
Geometric Topology
2009-11-20 v1 Group Theory
Abstract
Let G be a torsion-free hyperbolic group and let n > 5 be an integer. We prove that G is the fundamental group of a closed aspherical manifold if the boundary of G is homeomorphic to an (n-1)-dimensional sphere.
Cite
@article{arxiv.0911.3725,
title = {On hyperbolic groups with spheres as boundary},
author = {Arthur Bartels and Wolfgang Lueck and Shmuel Weinberger},
journal= {arXiv preprint arXiv:0911.3725},
year = {2009}
}
Comments
12 pages