Corks and exotic ribbons in B⁴

2021/03/25 by Selman Akbulut, Akbulut, Selman
Mathematics · #Mathematical Dynamics and Fractals #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2103.13967

Abstract

By using corks we construct diffeomorphic ribbon disks D⊂ B⁴, which are non-isotopic rel boundary to each other.

Related

• Spanning 3-discs in the 4-sphere pushed into the 5-disc
• Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots
• Corks, covers, and complex curves
• Corks for exotic diffeomorphisms
• Knots bounding non-isotopic ribbon disks