The lengths of 3-cocycles of the 7-dihedral and the octahedral quandles
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912545634254848 |
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| author | Inoue, Ayumu |
| author_facet | Inoue, Ayumu |
| contents | We determine the lengths of certain 3-cocycles of the 7-dihedral and the octahedral quandles. As a consequence, we show that both of the 2-twist-spun $5_{2}$-knot and the 4-twist-spun trefoil have the triple point number eight. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14612 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The lengths of 3-cocycles of the 7-dihedral and the octahedral quandles Inoue, Ayumu Geometric Topology 57K45, 57K12 We determine the lengths of certain 3-cocycles of the 7-dihedral and the octahedral quandles. As a consequence, we show that both of the 2-twist-spun $5_{2}$-knot and the 4-twist-spun trefoil have the triple point number eight. |
| title | The lengths of 3-cocycles of the 7-dihedral and the octahedral quandles |
| topic | Geometric Topology 57K45, 57K12 |
| url | https://arxiv.org/abs/2508.14612 |