Rational surfaces and symplectic 4–manifolds with one basic class

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

References

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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

Volume 2, issue 1 (2002)

Ronald Fintushel, Jongil Park and Ronald J Stern