Hyperbolic small knots in spherical manifolds
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866915317644525568 |
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| author | Ichihara, Kazuhiro |
| author_facet | Ichihara, Kazuhiro |
| contents | It was conjectured by Lopez that every closed irreducible non-Haken 3-manifold contains a small knot. In this paper, we give explicit examples of hyperbolic small knots in most closed orientable spherical 3-manifolds other than prism manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01041 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyperbolic small knots in spherical manifolds Ichihara, Kazuhiro Geometric Topology Primary 57K10, Secondary 57K32 It was conjectured by Lopez that every closed irreducible non-Haken 3-manifold contains a small knot. In this paper, we give explicit examples of hyperbolic small knots in most closed orientable spherical 3-manifolds other than prism manifolds. |
| title | Hyperbolic small knots in spherical manifolds |
| topic | Geometric Topology Primary 57K10, Secondary 57K32 |
| url | https://arxiv.org/abs/2506.01041 |