Some remarks on $h$-cobordisms between smooth 4-manifolds
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918475521327104 |
|---|---|
| author | Kupers, Alexander Powell, Mark |
| author_facet | Kupers, Alexander Powell, Mark |
| contents | It is not known whether the realisation part of the $s$-cobordism theorem holds for smooth 4-manifolds, nor whether every pair of smoothly $h$-cobordant 4-manifolds is also smoothly $s$-cobordant. We provide some new conditions under which these questions admit a positive answer. We also give conditions under which the `standard' method to construct an $h$-cobordism with specified torsion cannot work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27635 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some remarks on $h$-cobordisms between smooth 4-manifolds Kupers, Alexander Powell, Mark Geometric Topology Algebraic Topology 57K40, 57R67, 19J10 It is not known whether the realisation part of the $s$-cobordism theorem holds for smooth 4-manifolds, nor whether every pair of smoothly $h$-cobordant 4-manifolds is also smoothly $s$-cobordant. We provide some new conditions under which these questions admit a positive answer. We also give conditions under which the `standard' method to construct an $h$-cobordism with specified torsion cannot work. |
| title | Some remarks on $h$-cobordisms between smooth 4-manifolds |
| topic | Geometric Topology Algebraic Topology 57K40, 57R67, 19J10 |
| url | https://arxiv.org/abs/2604.27635 |