On two quotients of S²× S²

2024/01/11 by Andrea Bianchi, Bianchi, Andrea
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2401.05953

openalex publication_date 2024/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we prove that two seemingly different smooth 4-manifolds arising as quotients of S²× S² by free actions of ℤ/4 are in fact diffeomorphic, answering a question of Hambleton and Hillman.

Related

• Quotients of S²×S²
• Exotic smooth structures on S²× S²
• Wall's stable realization for diffeomorphisms of definite 4-manifolds
• Smooth Structures on M×\mathbbS^k
• On Donaldson's 4-6 question