Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.24128 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910899826065408 |
|---|---|
| author | Italiano, Giovanni Migliorini, Matteo |
| author_facet | Italiano, Giovanni Migliorini, Matteo |
| contents | We build the first example of a hyperbolic 6-manifold that admits a perfect circle-valued Morse function, which can be considered as the analogue of a fibration over the circle for manifolds with non-vanishing Euler characteristic. As a consequence, we obtain a new example of a subgroup of a hyperbolic group which is of type $\mathcal{F}_2$ but not $\mathcal{F}_3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_24128 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perfect circle-valued Morse functions on hyperbolic 6-manifolds Italiano, Giovanni Migliorini, Matteo Geometric Topology Group Theory 51M10 (Primary) 20F67, 57Q70, 51M20 (Secondary) We build the first example of a hyperbolic 6-manifold that admits a perfect circle-valued Morse function, which can be considered as the analogue of a fibration over the circle for manifolds with non-vanishing Euler characteristic. As a consequence, we obtain a new example of a subgroup of a hyperbolic group which is of type $\mathcal{F}_2$ but not $\mathcal{F}_3$. |
| title | Perfect circle-valued Morse functions on hyperbolic 6-manifolds |
| topic | Geometric Topology Group Theory 51M10 (Primary) 20F67, 57Q70, 51M20 (Secondary) |
| url | https://arxiv.org/abs/2503.24128 |