On non almost-fibered knots
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866914716222226432 |
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| author | Eudave-Muñoz, Mario Guzmán-Tristán, Araceli Ramírez-Losada, Enrique |
| author_facet | Eudave-Muñoz, Mario Guzmán-Tristán, Araceli Ramírez-Losada, Enrique |
| contents | An almost-fibered knot is a knot whose complement possesses a circular thin position in which there is one and only one weakly incompressible Seifert surface and one incompressible Seifert surface. Infinite examples of almost-fibered knots are known. In this article, we show the existence of infinitely many hyperbolic genus one knots that are not almost-fibered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_00039 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On non almost-fibered knots Eudave-Muñoz, Mario Guzmán-Tristán, Araceli Ramírez-Losada, Enrique Geometric Topology 57K10 (Primary), 57M12 (Secondary) An almost-fibered knot is a knot whose complement possesses a circular thin position in which there is one and only one weakly incompressible Seifert surface and one incompressible Seifert surface. Infinite examples of almost-fibered knots are known. In this article, we show the existence of infinitely many hyperbolic genus one knots that are not almost-fibered. |
| title | On non almost-fibered knots |
| topic | Geometric Topology 57K10 (Primary), 57M12 (Secondary) |
| url | https://arxiv.org/abs/2104.00039 |