Spanning 3-discs in the 4-sphere pushed into the 5-disc

2025/12/05 by Mark Powell, Powell, Mark
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2512.05952

Abstract

I prove that any two smooth collections of spanning 3-discs for the trivial 2-link in S⁴ become smoothly isotopic rel. boundary after pushing them into D⁵.

Citations

• Knotted handlebodies in the 4-sphere and 5-ball
• Knotted 3-balls in S⁴

Related

• Non-split, alternating links bound unique Seifert surfaces in the 4-ball
• Self-Referential Discs and the Light Bulb Lemma
• An exotic 5RP² in the 4-sphere
• Isotoping 2-spheres in 4-manifolds
• Corks and exotic ribbons in B⁴