Non-orientable 3-manifolds of surface-complexity one
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916548428431360 |
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| author | Amendola, Gennaro |
| author_facet | Amendola, Gennaro |
| contents | We classify all closed non-orientable $\mathbb{P}^2$-irreducible 3-manifolds obtained by identifying the faces of a cube. These turn out to be the closed non-orientable $\mathbb{P}^2$-irreducible 3-manifolds with surface-complexity one. We show that they are the four flat ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01328 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-orientable 3-manifolds of surface-complexity one Amendola, Gennaro Geometric Topology 57K31 (primary), 57K30 (secondary) We classify all closed non-orientable $\mathbb{P}^2$-irreducible 3-manifolds obtained by identifying the faces of a cube. These turn out to be the closed non-orientable $\mathbb{P}^2$-irreducible 3-manifolds with surface-complexity one. We show that they are the four flat ones. |
| title | Non-orientable 3-manifolds of surface-complexity one |
| topic | Geometric Topology 57K31 (primary), 57K30 (secondary) |
| url | https://arxiv.org/abs/2501.01328 |