New Exotic four-manifolds with $\mathbb{Z}/2\mathbb{Z}$ fundamental group
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914974345986048 |
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| author | Beke, Márton Koltai, László Zampa, Sarah |
| author_facet | Beke, Márton Koltai, László Zampa, Sarah |
| contents | We extend a construction of Stipsicz-Szabó of infinitely many irreducible exotic smooth structures of some closed four-manifolds with even $b_2^+$ and fundamental group $\mathbb{Z}/2\mathbb{Z}$. We use the double node surgery and rational blow down constructions of Fintushel-Stern on some elliptic fibrations equipped with a free involution. The construction is done in an equivariant manner and the factor manifolds are distinguished by the Seiberg-Witten invariants of their universal covers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_08452 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | New Exotic four-manifolds with $\mathbb{Z}/2\mathbb{Z}$ fundamental group Beke, Márton Koltai, László Zampa, Sarah Geometric Topology 57K14, 57K41, 57M10, 57R55 We extend a construction of Stipsicz-Szabó of infinitely many irreducible exotic smooth structures of some closed four-manifolds with even $b_2^+$ and fundamental group $\mathbb{Z}/2\mathbb{Z}$. We use the double node surgery and rational blow down constructions of Fintushel-Stern on some elliptic fibrations equipped with a free involution. The construction is done in an equivariant manner and the factor manifolds are distinguished by the Seiberg-Witten invariants of their universal covers. |
| title | New Exotic four-manifolds with $\mathbb{Z}/2\mathbb{Z}$ fundamental group |
| topic | Geometric Topology 57K14, 57K41, 57M10, 57R55 |
| url | https://arxiv.org/abs/2312.08452 |