GL-racks and coloring invariants of Legendrian knots
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916018638553088 |
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| author | Cheng, Zhiyun He, Zhiyi |
| author_facet | Cheng, Zhiyun He, Zhiyi |
| contents | In this paper, we explore the algebraic structure of GL-racks, and demonstrate that finite GL-racks decompose canonically into permutation GL-racks and block GL-racks. As a corollary, we verify that two Legendrian knots with the same classical invariants share equivalent coloring invariants with respect to any given finite GL-rack. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16968 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | GL-racks and coloring invariants of Legendrian knots Cheng, Zhiyun He, Zhiyi Geometric Topology 57K12, 57K33 In this paper, we explore the algebraic structure of GL-racks, and demonstrate that finite GL-racks decompose canonically into permutation GL-racks and block GL-racks. As a corollary, we verify that two Legendrian knots with the same classical invariants share equivalent coloring invariants with respect to any given finite GL-rack. |
| title | GL-racks and coloring invariants of Legendrian knots |
| topic | Geometric Topology 57K12, 57K33 |
| url | https://arxiv.org/abs/2605.16968 |