On absolutely exotic diffeomorphisms of 4-manifolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914078984765440 |
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| author | Konno, Hokuto Mallick, Abhishek Taniguchi, Masaki |
| author_facet | Konno, Hokuto Mallick, Abhishek Taniguchi, Masaki |
| contents | We prove that there exist infinitely many contractible compact smooth $4$-manifolds $C$ that admit absolutely exotic diffeomorphisms of infinite order in $π_0(\mathrm{Diff}(C))$. By ``absolutely", we mean that isotopies are not required to be relative to the boundary. This follows from a theorem that produces absolutely exotic diffeomorphisms from relatively exotic diffeomorphisms, analogous to a theorem of Akbulut and Ruberman that produces absolutely exotic 4-manifolds from relatively exotic 4-manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05505 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On absolutely exotic diffeomorphisms of 4-manifolds Konno, Hokuto Mallick, Abhishek Taniguchi, Masaki Geometric Topology We prove that there exist infinitely many contractible compact smooth $4$-manifolds $C$ that admit absolutely exotic diffeomorphisms of infinite order in $π_0(\mathrm{Diff}(C))$. By ``absolutely", we mean that isotopies are not required to be relative to the boundary. This follows from a theorem that produces absolutely exotic diffeomorphisms from relatively exotic diffeomorphisms, analogous to a theorem of Akbulut and Ruberman that produces absolutely exotic 4-manifolds from relatively exotic 4-manifolds. |
| title | On absolutely exotic diffeomorphisms of 4-manifolds |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2510.05505 |