The pretzel knot $P(4, -3, 5)$ is not squeezed
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918207987646464 |
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| author | Iida, Nobuo Suzuki, Tatsumasa |
| author_facet | Iida, Nobuo Suzuki, Tatsumasa |
| contents | We prove that an infinite family of three-strand pretzel knots is not squeezed. In particular, we show that $P(4, -3, 5)$ is not squeezed. This answers a question posed by Lewark (2024). Our proof is obtained by comparing the Rasmussen invariant with the $q_M$-invariant introduced by Iida and Taniguchi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03224 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The pretzel knot $P(4, -3, 5)$ is not squeezed Iida, Nobuo Suzuki, Tatsumasa Geometric Topology 57K10, 57K18, 57K41 We prove that an infinite family of three-strand pretzel knots is not squeezed. In particular, we show that $P(4, -3, 5)$ is not squeezed. This answers a question posed by Lewark (2024). Our proof is obtained by comparing the Rasmussen invariant with the $q_M$-invariant introduced by Iida and Taniguchi. |
| title | The pretzel knot $P(4, -3, 5)$ is not squeezed |
| topic | Geometric Topology 57K10, 57K18, 57K41 |
| url | https://arxiv.org/abs/2511.03224 |