Revised note on surface-link of trivial components
Geometric Topology
2026-01-15 v6
Abstract
Quasi-ribbon .surface-links are introduced as a generalization of the concept of ribbon surface -links: surface-links that are transformed into ribbon surface-links (without changing the components) by surgery along a locally standard self (1, 2)-handle pair system. For every disconnected closed oriented surface F with at most one aspheric component, every F-link of trivial components is a quasi-ribbon surface-link. For every disconnected closed oriented surface F, there are non-ribbon quasi-ribbon F-links of trivial components. For every closed oriented surface F with at least two aspheric components, there are non-quasi-ribbon F-links of trivial components.
Cite
@article{arxiv.2503.05151,
title = {Revised note on surface-link of trivial components},
author = {Akio Kawauchi},
journal= {arXiv preprint arXiv:2503.05151},
year = {2026}
}
Comments
Essential parts are revised