Irreducible 4-manifolds can admit exotic diffeomorphisms
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909662746509312 |
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| author | Baraglia, David Konno, Hokuto |
| author_facet | Baraglia, David Konno, Hokuto |
| contents | We prove that a variety of examples of minimal complex surfaces admit exotic diffeomorphisms, providing the first known instances of exotic diffeomorphisms of irreducible 4-manifolds. We also give sufficient conditions for the boundary Dehn twist on a spin 4-manifold with $S^3$ boundary to be non-trivial in the relative mapping class group. This gives many new examples of non-trivial boundary Dehn twists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14398 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Irreducible 4-manifolds can admit exotic diffeomorphisms Baraglia, David Konno, Hokuto Geometric Topology We prove that a variety of examples of minimal complex surfaces admit exotic diffeomorphisms, providing the first known instances of exotic diffeomorphisms of irreducible 4-manifolds. We also give sufficient conditions for the boundary Dehn twist on a spin 4-manifold with $S^3$ boundary to be non-trivial in the relative mapping class group. This gives many new examples of non-trivial boundary Dehn twists. |
| title | Irreducible 4-manifolds can admit exotic diffeomorphisms |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2412.14398 |