Coboundary expansion and Gromov hyperbolicity
Geometric Topology
2023-09-13 v1 Group Theory
Abstract
We prove that if a compact -manifold admits a sequence of residual covers that form a coboundary expander in dimension , then the manifold has Gromov-hyperbolic fundamental group. In particular, residual sequences of covers of non-hyperbolic compact connected irreducible 3-manifolds are not 1-coboundary expanders.
Cite
@article{arxiv.2309.06215,
title = {Coboundary expansion and Gromov hyperbolicity},
author = {Dawid Kielak and Piotr W. Nowak},
journal= {arXiv preprint arXiv:2309.06215},
year = {2023}
}