Explicit Formulas for the Alexander Polynomial of Pretzel Knots
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915843915382784 |
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| author | Belousov, Y. |
| author_facet | Belousov, Y. |
| contents | We provide explicit formulas for the Alexander polynomial of pretzel knots and establish several immediate corollaries, including the characterization of pretzel knots with a trivial Alexander polynomial. As an application, we construct a new family of knots that are topologically slice but not smoothly slice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10370 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Explicit Formulas for the Alexander Polynomial of Pretzel Knots Belousov, Y. Geometric Topology 57K10, 57K14 We provide explicit formulas for the Alexander polynomial of pretzel knots and establish several immediate corollaries, including the characterization of pretzel knots with a trivial Alexander polynomial. As an application, we construct a new family of knots that are topologically slice but not smoothly slice. |
| title | Explicit Formulas for the Alexander Polynomial of Pretzel Knots |
| topic | Geometric Topology 57K10, 57K14 |
| url | https://arxiv.org/abs/2502.10370 |