On four-manifolds without 1- and 3-handles
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913276927934464 |
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| author | Baykur, R. Inanc |
| author_facet | Baykur, R. Inanc |
| contents | We note that infinitely many irreducible, closed, simply connected 4-manifolds, with prescribed signature and spin type, admit perfect Morse functions, i.e. they can be given handle decompositions without 1- and 3-handles. In particular, there are many such 4-manifolds homeomorphic but not diffeomorphic to the standard 4-manifolds # m (S^2 x S^2) and # n (CP^2 # -CP^2), respectively, which answers Problem 4.91 on Kirby's 1997 list. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14586 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On four-manifolds without 1- and 3-handles Baykur, R. Inanc Geometric Topology We note that infinitely many irreducible, closed, simply connected 4-manifolds, with prescribed signature and spin type, admit perfect Morse functions, i.e. they can be given handle decompositions without 1- and 3-handles. In particular, there are many such 4-manifolds homeomorphic but not diffeomorphic to the standard 4-manifolds # m (S^2 x S^2) and # n (CP^2 # -CP^2), respectively, which answers Problem 4.91 on Kirby's 1997 list. |
| title | On four-manifolds without 1- and 3-handles |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2403.14586 |