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On irreducible four--manifolds

D. Kotschick

alg-geomarXiv:alg-geom/9504012

Abstract

We show that minimal symplectic 4--manifolds with b2+ >1 and with residually finite fundamental groups are irreducible. We also give examples of irreducible orientable four--manifolds with indefinite intersection forms which are not almost complex with respect to either orientation.

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