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.

Hyperbolic 5-manifolds that fiber over S^1

Italiano, Giovanni
;
Migliorini, Matteo
2023

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.
2023
Settore MAT/03 - Geometria
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Descrizione: Published version on Invent. Math. https://doi.org/10.1007/s00222-022-01141-w
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/130902
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