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arXiv · 2105.14795

Hyperbolic 5-manifolds that fiber over $S^1$

Giovanni Italiano·Bruno Martelli·Matteo Migliorini
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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.

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Giovanni Italiano, Bruno Martelli, Matteo Migliorini. 2021-11-27. Hyperbolic 5-manifolds that fiber over $S^1$. https://arxiv.org/abs/2105.14795

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