An exotic smooth structure on CP²#6CP²

Stipsicz, András I¹ ; Szabó, Zoltán²

¹ Rényi Institute of Mathematics, Hungarian Academy of Sciences, H-1053 Budapest, Reáltanoda utca 13–15, Hungary, Institute for Advanced Study, Princeton, New Jersey 08540, USA
² Department of Mathematics, Princeton University, Princeton, New Jersey 08544, USA

Geometry & topology, Tome 9 (2005) no. 2, pp. 813-832.

Résumé

We construct smooth 4–manifolds homeomorphic but not diffeomorphic to ${ℂ\mathbb{P}}^2\#6{\overline{ℂ\mathbb{P}}}^2$.

Détail

DOI : 10.2140/gt.2005.9.813

Keywords: exotic smooth 4–manifolds, Seiberg–Witten invariants, rational blow-down, rational surfaces

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