Non-smoothable homeomorphisms of $4$-manifolds with boundary
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916629955215360 |
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| author | Galvin, Daniel Ladu, Roberto |
| author_facet | Galvin, Daniel Ladu, Roberto |
| contents | We construct the first examples of non-smoothable self-homeomorphisms of smooth $4$-manifolds with boundary that fix the boundary and act trivially on homology. As a corollary, we construct self-diffeomorphisms of $4$-manifolds with boundary that fix the boundary and act trivially on homology but cannot be isotoped to any self-diffeomorphism supported in a collar of the boundary and, in particular, are not isotopic to any generalised Dehn twist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08666 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-smoothable homeomorphisms of $4$-manifolds with boundary Galvin, Daniel Ladu, Roberto Geometric Topology Differential Geometry 57R35, 57R50, 57R52, 57R10 We construct the first examples of non-smoothable self-homeomorphisms of smooth $4$-manifolds with boundary that fix the boundary and act trivially on homology. As a corollary, we construct self-diffeomorphisms of $4$-manifolds with boundary that fix the boundary and act trivially on homology but cannot be isotoped to any self-diffeomorphism supported in a collar of the boundary and, in particular, are not isotopic to any generalised Dehn twist. |
| title | Non-smoothable homeomorphisms of $4$-manifolds with boundary |
| topic | Geometric Topology Differential Geometry 57R35, 57R50, 57R52, 57R10 |
| url | https://arxiv.org/abs/2310.08666 |