Fundamental generalized Legendrian rack and classical invariants
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911075124903936 |
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| author | Cheng, Zhiyun He, Zhiyi |
| author_facet | Cheng, Zhiyun He, Zhiyi |
| contents | In this paper, we prove that if two Legendrian knots have isomorphic fundamental GL-racks, then either they have the same Thurston-Bennequin number and the same rotation number, or they have the opposite Thurston-Bennequin numbers and opposite rotation numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fundamental generalized Legendrian rack and classical invariants Cheng, Zhiyun He, Zhiyi Geometric Topology 57K12 In this paper, we prove that if two Legendrian knots have isomorphic fundamental GL-racks, then either they have the same Thurston-Bennequin number and the same rotation number, or they have the opposite Thurston-Bennequin numbers and opposite rotation numbers. |
| title | Fundamental generalized Legendrian rack and classical invariants |
| topic | Geometric Topology 57K12 |
| url | https://arxiv.org/abs/2507.18500 |