Isotoping 2-spheres in 4-manifolds

2014/06/21 by Selman Akbulut, Akbulut, Selman
Computer Science · Mathematics · #57R65 #58A05 #58D27 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1406.5654

openalex publication_date 2014/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Here we discuss an example of topologically isotopic but smoothly non-isotopic pair of 2-spheres in a simply connected 4-manifold, which become smoothly isotopic after stabilizing by connected summing with S² x S².

Related

• Isotopy of surfaces in 4-manifolds after a single stabilization
• Pseudo-isotopies of simply connected 4-manifolds
• Self-Referential Discs and the Light Bulb Lemma
• Homotopy versus isotopy: spheres with duals in 4-manifolds
• 3-Spheres in the 4-Sphere and Pseudo-Isotopies of S¹× S³