New Exotic four-manifolds with $\mathbb{Z}/2\mathbb{Z}$ fundamental group
| Autor: | Beke, Márton, Koltai, László, Zampa, Sarah |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We extend a construction of Stipsicz-Szab\'{o} 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. Comment: 14 pages, 7 figures, to appear in Michigan Journal of Mathematics |
| Databáze: | arXiv |
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