1. Hyperbolic 5-manifolds that fiber over S^1
- Author
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Italiano, Giovanni, Martelli, Bruno, Migliorini, Matteo, Italiano, Giovanni, Martelli, Bruno, and Migliorini, Matteo
- Subjects
Mathematics - Differential Geometry ,Mathematics - Geometric Topology ,Mathematics::Dynamical Systems ,Differential Geometry (math.DG) ,General Mathematics ,FOS: Mathematics ,Geometric Topology (math.GT) ,Settore MAT/03 - Geometria ,Mathematics::Geometric Topology - 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., Comment: 35 pages, 13 figures
- Published
- 2023