A note on homotopy and pseudoisotopy of diffeomorphisms of $4$-manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912032629981184 |
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| author | Krannich, Manuel Kupers, Alexander |
| author_facet | Krannich, Manuel Kupers, Alexander |
| contents | This note serves to record examples of diffeomorphisms of closed smooth $4$-manifolds $X$ that are homotopic but not pseudoisotopic to the identity, and to explain why there are no such examples when $X$ is orientable and its fundamental group is a free group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16167 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on homotopy and pseudoisotopy of diffeomorphisms of $4$-manifolds Krannich, Manuel Kupers, Alexander Geometric Topology Algebraic Topology 57R52, 57R67, 57K40 This note serves to record examples of diffeomorphisms of closed smooth $4$-manifolds $X$ that are homotopic but not pseudoisotopic to the identity, and to explain why there are no such examples when $X$ is orientable and its fundamental group is a free group. |
| title | A note on homotopy and pseudoisotopy of diffeomorphisms of $4$-manifolds |
| topic | Geometric Topology Algebraic Topology 57R52, 57R67, 57K40 |
| url | https://arxiv.org/abs/2402.16167 |