Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909856037863424 |
|---|---|
| author | Kang, Sungkyung Park, JungHwan Taniguchi, Masaki |
| author_facet | Kang, Sungkyung Park, JungHwan Taniguchi, Masaki |
| contents | We develop a $\mathrm{Pin}(2) \times \mathbb{Z}_2$-equivariant refinement of the lattice homotopy type for computing equivariant Seiberg--Witten Floer homotopy types. As an application, we construct a relatively exotic diffeomorphism on a compact contractible 4-manifold that survives two stabilizations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12394 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations Kang, Sungkyung Park, JungHwan Taniguchi, Masaki Geometric Topology 57K41, 57R85, 57R50 We develop a $\mathrm{Pin}(2) \times \mathbb{Z}_2$-equivariant refinement of the lattice homotopy type for computing equivariant Seiberg--Witten Floer homotopy types. As an application, we construct a relatively exotic diffeomorphism on a compact contractible 4-manifold that survives two stabilizations. |
| title | Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations |
| topic | Geometric Topology 57K41, 57R85, 57R50 |
| url | https://arxiv.org/abs/2510.12394 |