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.File in questo prodotto:
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s00222-022-01141-w.pdf
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Descrizione: Published version on Invent. Math. https://doi.org/10.1007/s00222-022-01141-w
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