Ribbon disks with the same exterior

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.

9 pages, 14 figures. Statements of Lemmas 4.1 and 4.2 are clarified

References in corpus (3)

• Knot traces and concordance
• The Legendrian knot complement problem
• Knot Complement Problem for L-space $\mathbb{Z}H{S}^3$