Corks and exotic ribbons in $B^{4}$

TL;DR

This paper introduces a method using corks to construct non-isotopic ribbon disks in the 4-ball, revealing new insights into the topology of smooth structures in four dimensions.

Contribution

It presents a novel construction of non-isotopic ribbon disks in $B^{4}$ using corks, advancing understanding of exotic smooth structures.

Findings

Construction of non-isotopic ribbon disks in $B^{4}$

Use of corks to distinguish smooth structures

New examples of exotic smooth phenomena in four dimensions

Abstract

By using corks we construct diffeomorphic ribbon disks $D\subset B^{4}$, which are non-isotopic rel boundary to each other.