Infinite families of non-fibered twisted torus knots
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911493238292480 |
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| author | Adnan Park, Kyungbae |
| author_facet | Adnan Park, Kyungbae |
| contents | We present explicit infinite families of twisted torus knots that are not fibered. Our approach relies on an explicit formula for the Alexander polynomial derived in our previous work. We show that the leading coefficients of the Alexander polynomials of twisted torus knots can take arbitrary integer values, which immediately yields infinitely many examples of non-fibered twisted torus knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06316 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Infinite families of non-fibered twisted torus knots Adnan Park, Kyungbae Geometric Topology 57K10, 57K14 We present explicit infinite families of twisted torus knots that are not fibered. Our approach relies on an explicit formula for the Alexander polynomial derived in our previous work. We show that the leading coefficients of the Alexander polynomials of twisted torus knots can take arbitrary integer values, which immediately yields infinitely many examples of non-fibered twisted torus knots. |
| title | Infinite families of non-fibered twisted torus knots |
| topic | Geometric Topology 57K10, 57K14 |
| url | https://arxiv.org/abs/2603.06316 |