Ribbon disks with the same exterior

TL;DR

This paper constructs an infinite family of ribbon slice disks sharing the same exterior, answering a longstanding question and expanding understanding of slice disk topology.

Contribution

It introduces a new infinite family of ribbon slice disks with identical exteriors, resolving a question posed in 1981.

Findings

Constructed an infinite family of slice disks with identical exteriors.

Proved that these slice disks are ribbon disks.

Provided an affirmative answer to a question by Hitt and Sumners.

Abstract

We construct an infinite family of slice disks with the same exterior, which gives an affirmative answer to an old question asked by Hitt and Sumners in 1981. Furthermore, we prove that these slice disks are ribbon disks.