A symplectic manifold homeomorphic but not diffeomorphic to CP² # 3(-CP²)

2007/02/08 by Scott Baldridge, Baldridge, Scott, Paul Kirk +1 · 1 citation
Mathematics · #54D05 #57M05 #57R17 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.math/0702211

openalex publication_date 2007/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct a minimal symplectic 4-manifold and prove it is homeomorphic but not diffeomorphic to CP² # 3(-CP²)

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• Generalized Luttinger surgery and other cut-and-paste constructions in generalized complex geometry

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