Hyperbolic 5-manifolds that fiber over S1

• 成果类型: Article
• 署名作者: Italiano, Giovanni; Martelli, Bruno; Migliorini, Matteo
• 署名单位: Scuola Normale Superiore di Pisa
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-022-01141-w
• 发表日期: 2023
• 页码: 1-38
• 关键词: SUBGROUPS

摘要

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.