Note on surface-link of trivial components
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929574637469696 |
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| author | Kawauchi, Akio |
| author_facet | Kawauchi, Akio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01454 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Note on surface-link of trivial components Kawauchi, Akio Geometric Topology Primary 57Q45, Secondary 57N13 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. |
| title | Note on surface-link of trivial components |
| topic | Geometric Topology Primary 57Q45, Secondary 57N13 |
| url | https://arxiv.org/abs/2411.01454 |