Ribbonness on classical link
Geometric Topology
2023-09-06 v2
Abstract
It is shown that if a link in 3-space bounds a proper oriented surface (without closed component) in the upper half 4-space, then the link bounds a proper oriented ribbon surface in the upper half 4-space which is a renewal embedding of the original surface. In particular, every slice knot is a ribbon knot, answering an old question by R. H. Fox affirmatively.
Keywords
Cite
@article{arxiv.2307.16483,
title = {Ribbonness on classical link},
author = {Akio Kawauchi},
journal= {arXiv preprint arXiv:2307.16483},
year = {2023}
}
Comments
Many minor corrections