Ribbonness of a stable-ribbon surface-link, II. General case
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2019
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| _version_ | 1866929672376287232 |
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| author | Kawauchi, Akio |
| author_facet | Kawauchi, Akio |
| contents | It is shown that any handle-irreducible summand of every stable-ribbon surface-link is a unique ribbon surface-link up to equivalences, so that every stable-ribbon surface-link is a ribbon surface-link. This is a generalization of a previously observed result for a stably trivial surface-link. Two observations are given. One observation is that a connected sum of two surface-links is a ribbon surface-link if and only if both the connected summands are ribbon surface-links. The other observation is a characterization of when a surface-link consisting of ribbon surface-knot components becomes a ribbon surface-link. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_09713 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Ribbonness of a stable-ribbon surface-link, II. General case Kawauchi, Akio Geometric Topology Primary 57K45, Secondary 57K40 It is shown that any handle-irreducible summand of every stable-ribbon surface-link is a unique ribbon surface-link up to equivalences, so that every stable-ribbon surface-link is a ribbon surface-link. This is a generalization of a previously observed result for a stably trivial surface-link. Two observations are given. One observation is that a connected sum of two surface-links is a ribbon surface-link if and only if both the connected summands are ribbon surface-links. The other observation is a characterization of when a surface-link consisting of ribbon surface-knot components becomes a ribbon surface-link. |
| title | Ribbonness of a stable-ribbon surface-link, II. General case |
| topic | Geometric Topology Primary 57K45, Secondary 57K40 |
| url | https://arxiv.org/abs/1907.09713 |