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An exotic smooth structure on CP²#6CP²

András I Stipsicz and Zoltán Szabó

Geometry & Topology 9 (2005) 813–832

DOI: 10.2140/gt.2005.9.813
Abstract

We construct smooth 4–manifolds homeomorphic but not diffeomorphic to CP2#6CP2.

Keywords

exotic smooth 4–manifolds, Seiberg–Witten invariants, rational blow-down, rational surfaces
Mathematical Subject Classification

Primary: 14J26, 53D05

Secondary: 57R55, 57R57
References
Publication

Received: 6 December 2004
Accepted: 2 May 2005
Published: 18 May 2005
Proposed: Peter Ozsvath
Seconded: Ronald Fintushel, Tomasz Mrowka
Authors
András I Stipsicz
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
Zoltán Szabó
Department of Mathematics
Princeton University
Princeton
New Jersey 08544
USA