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Rational surfaces and symplectic 4–manifolds with one basic class

Ronald Fintushel, Jongil Park and Ronald J Stern

Algebraic & Geometric Topology 2 (2002) 391–402

arXiv: math.GT/0202195

Abstract

We present constructions of simply connected symplectic 4–manifolds which have (up to sign) one basic class and which fill up the geographical region between the half-Noether and Noether lines.

Keywords
$4$–manifold, Seiberg-Witten invariant
Mathematical Subject Classification 2000
Primary: 57R57
Secondary: 57R17
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Publication
Received: 19 February 2002
Accepted: 12 May 2002
Published: 22 May 2002
Authors
Ronald Fintushel
Department of Math
Michigan State University
East Lansing, MI 48824
USA
Jongil Park
Department of Math
Konkuk University
1 Hwayang-dong
Kwangjin-gu
Seoul 143-701
Korea
Ronald J Stern
Department of Mathematics
University of California
Irvine, CA 92697
USA