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
File in questo prodotto:
File Dimensione Formato  
s00222-022-01141-w.pdf

accesso aperto

Descrizione: Published version on Invent. Math. https://doi.org/10.1007/s00222-022-01141-w
Tipologia: Published version
Licenza: Creative Commons
Dimensione 786.51 kB
Formato Adobe PDF
786.51 kB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/130902
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 16
  • OpenAlex ND
social impact