English

Ribbon disks with the same exterior

Geometric Topology 2018-01-08 v2

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.

Cite

@article{arxiv.1703.04913,
  title  = {Ribbon disks with the same exterior},
  author = {Tetsuya Abe and Motoo Tange},
  journal= {arXiv preprint arXiv:1703.04913},
  year   = {2018}
}

Comments

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

R2 v1 2026-06-22T18:45:42.898Z