Ribbon cobordisms as a partial order
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912663195353088 |
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| author | Huber, Marius |
| author_facet | Huber, Marius |
| contents | We show that the notion of ribbon rational homology cobordism yields a partial order on the set of aspherical $3$-manifolds, thus supporting a conjecture formulated by Daemi, Lidman, Vela-Vick and Wong. Our proof is built on Agol's recent proof of the fact that ribbon concordance yields a partial order on the set of knots in the 3-sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_12372 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Ribbon cobordisms as a partial order Huber, Marius Geometric Topology We show that the notion of ribbon rational homology cobordism yields a partial order on the set of aspherical $3$-manifolds, thus supporting a conjecture formulated by Daemi, Lidman, Vela-Vick and Wong. Our proof is built on Agol's recent proof of the fact that ribbon concordance yields a partial order on the set of knots in the 3-sphere. |
| title | Ribbon cobordisms as a partial order |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2204.12372 |