English

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

R2 v1 2026-06-28T22:10:19.721Z