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SMALL EXOTIC 4-MANIFOLDS WITH ${\lowercase{B}}_2^+=3$

Published online by Cambridge University Press:  31 May 2006

ANDRÁS I. STIPSICZ  and
ZOLTÁN SZABÓ
ANDRÁS I. STIPSICZ
Affiliation:
Rényi Institute of Mathematics, Hungarian Academy of Sciences, H-1053 Budapest, Reáltanoda utca 13–15, Hungarystipsicz@renyi.hu
ZOLTÁN SZABÓ
Affiliation:
Department of Mathematics, Princeton University, Princeton, NJ, 08544, USAszabo@math.princeton.edu
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Abstract

We construct an infinite family of simply connected, pairwise nondiffeomorphic 4-manifolds, all homeomorphic to $3{\mathbb {CP}}^2 \# 9 {\overline {{\mathbb C}{\mathbb P}^2}}$. Similar ideas provide examples of 4-manifolds with $b_2^+=3$, $b_2^-=8$, vanishing first homology and nontrivial Seiberg–Witten invariants.

Keywords

57R5557R57
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 3 , June 2006 , pp. 501 - 506
Copyright
© The London Mathematical Society 2006

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