Exotic smooth structures on S²× S²

2010/05/19 by Anar Akhmedov, Akhmedov, Anar, B. Doug Park +1 · 3 citations
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.GT #math.SG

paper · pdf · doi:10.48550/arxiv.1005.3346

12 pages, 4 figures

openalex publication_date 2010/05/19 · arxiv created 2010/07/06 · arxiv updated 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct an infinite family of mutually non-diffeomorphic irreducible smooth structures on the topological 4-manifold S² × S².

Cited by

• The Catanese-Ciliberto-Mendes Lopes surface
• Perfect Morse functions and exotic S² x S²'s
• Discrete Morse Theory Is At Least As Perfect As Morse Theory

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