Note on surface-link of trivial components
Geometric Topology
2024-11-05 v1
Abstract
As a previous result, it has shown that every sphere-link consisting of trivial components is a ribbon sphere-link. In this note, it is shown that for every closed oriented disconnected surface F with just one non-sphere component, every F-link consisting of trivial components is a ribbon surface-link. Further, it is shown that for every closed oriented disconnected surface F containing at least two non-sphere components, there exist a pair of a ribbon F-link and a non-ribbon F-link that consist of trivial components and have meridian-preservingly isomorphic fundamental groups.
Cite
@article{arxiv.2411.01454,
title = {Note on surface-link of trivial components},
author = {Akio Kawauchi},
journal= {arXiv preprint arXiv:2411.01454},
year = {2024}
}