Pseudo-isotopy versus isotopy for homeomorphisms of 4-manifolds
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918058022404096 |
|---|---|
| author | Galvin, Daniel Nonino, Isacco |
| author_facet | Galvin, Daniel Nonino, Isacco |
| contents | We define obstructions which obstruct topological pseudo-isotopies from being isotopic to isotopies in dimension four. These match the smooth obstructions of Hatcher-Wagoner for smooth pseudo-isotopies, and accordingly are valued in certain Whitehead groups. We show that our obstructions are fully realisable, and we use these realisations to build homeomorphisms of $Y\times S^1$ for many 3-manifolds $Y$ that are pseudo-isotopic to the identity but not isotopic to the identity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11905 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pseudo-isotopy versus isotopy for homeomorphisms of 4-manifolds Galvin, Daniel Nonino, Isacco Geometric Topology 57N37, 57K40 (Primary) 57R52, 57R65 (Secondary) We define obstructions which obstruct topological pseudo-isotopies from being isotopic to isotopies in dimension four. These match the smooth obstructions of Hatcher-Wagoner for smooth pseudo-isotopies, and accordingly are valued in certain Whitehead groups. We show that our obstructions are fully realisable, and we use these realisations to build homeomorphisms of $Y\times S^1$ for many 3-manifolds $Y$ that are pseudo-isotopic to the identity but not isotopic to the identity. |
| title | Pseudo-isotopy versus isotopy for homeomorphisms of 4-manifolds |
| topic | Geometric Topology 57N37, 57K40 (Primary) 57R52, 57R65 (Secondary) |
| url | https://arxiv.org/abs/2506.11905 |