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 S¹

Italiano, G;Martelli, B
;
Migliorini, M
2023-01-01

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
Italiano, G; Martelli, B; Migliorini, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1163471
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