Geometry & Topology Volume 9, issue 2 (2005)

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ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

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An exotic smooth structure on $\mathbb{CP}^2\#6\bar{\mathbb{CP}^2}$

András I Stipsicz and Zoltán Szabó

Geometry & Topology 9 (2005) 813–832

DOI: 10.2140/gt.2005.9.813

arXiv: math.GT/0411258

Abstract

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

Keywords

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

Mathematical Subject Classification 2000

Primary: 53D05, 14J26

Secondary: 57R55, 57R57

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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