Hyperbolic 5-manifolds that fiber over $S^1$
Geometric Topology
2021-11-30 v4 Differential Geometry
Abstract
We exhibit some finite-volume cusped hyperbolic 5-manifolds that fiber over the circle. These include the smallest hyperbolic 5-manifold known, discovered by Ratcliffe and Tschantz. As a consequence, we build a finite type subgroup of a hyperbolic group that is not hyperbolic.
Cite
@article{arxiv.2105.14795,
title = {Hyperbolic 5-manifolds that fiber over $S^1$},
author = {Giovanni Italiano and Bruno Martelli and Matteo Migliorini},
journal= {arXiv preprint arXiv:2105.14795},
year = {2021}
}
Comments
35 pages, 13 figures