Exotic smooth structures on CP²#5 CP²

2004/12/10 by Jongil Park, András I. Stipsicz, Park, Jongil +5
Mathematics · #14J26 #53D05 #57R55 #57R57 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:14J26 #msc:53D05 #msc:57R55 #msc:57R57

paper · pdf · doi:10.48550/arxiv.math/0412216

14 pages, 4 figures; details of computation of Seiberg-Witten invariants is added

openalex publication_date 2004/12/10 · arxiv created 2005/05/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by a construction of Fintushel and Stern, we show that the topological 4--manifold CP²#5 CP² supports infinitely many distinct smooth structures.

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