On irreducible four--manifolds

1995/04/23 by D. Kotschick, Kotschick, D. · 1 citation
Mathematics · #53C15 #57R55 #57R57 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #alg-geom #math.AG #msc:53C15 #msc:57R55 #msc:57R57

paper · pdf · doi:10.48550/arxiv.alg-geom/9504012

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arxiv created 1995/04/23 · openalex publication_date 1995/04/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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