Revised note on surface-link of trivial components
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911375576530944 |
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| author | Kawauchi, Akio |
| author_facet | Kawauchi, Akio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05151 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revised note on surface-link of trivial components Kawauchi, Akio Geometric Topology Primary 57Q45, Secondary 57N13 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. |
| title | Revised note on surface-link of trivial components |
| topic | Geometric Topology Primary 57Q45, Secondary 57N13 |
| url | https://arxiv.org/abs/2503.05151 |