Communications in Analysis and Geometry

Volume 30 (2022)

Number 2

Ribbon disks with the same exterior

Pages: 257 – 270



Tetsuya Abe (College of Science and Engineering, Ritsumeikan University, Kusatsu Shiga, Japan)

Motoo Tange (Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki, Japan)


We construct an infinite family of inequivalent 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.

Received 8 September 2017

Accepted 27 January 2018

Published 29 November 2022