Smooth structures on four-manifolds with finite cyclic fundamental groups
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916285658431488 |
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| author | Baykur, R. Inanc Stipsicz, Andras I. Szabo, Zoltan |
| author_facet | Baykur, R. Inanc Stipsicz, Andras I. Szabo, Zoltan |
| contents | For each nonnegative integer m we show that any closed, oriented topological four-manifold with fundamental group Z_{4m+2} and odd intersection form, with possibly seven exceptions, either admits no smooth structure or admits infinitely many distinct smooth structures up to diffeomorphism. Moreover, we construct infinite families of non-complex irreducible fake projective planes with diverse fundamental groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Smooth structures on four-manifolds with finite cyclic fundamental groups Baykur, R. Inanc Stipsicz, Andras I. Szabo, Zoltan Geometric Topology Differential Geometry For each nonnegative integer m we show that any closed, oriented topological four-manifold with fundamental group Z_{4m+2} and odd intersection form, with possibly seven exceptions, either admits no smooth structure or admits infinitely many distinct smooth structures up to diffeomorphism. Moreover, we construct infinite families of non-complex irreducible fake projective planes with diverse fundamental groups. |
| title | Smooth structures on four-manifolds with finite cyclic fundamental groups |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/2406.09007 |