Computing Khovanov homology of tangles
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_ | 1866918127517827072 |
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| author | Shen, Li Liu, Jian Wei, Guo-Wei |
| author_facet | Shen, Li Liu, Jian Wei, Guo-Wei |
| contents | The computation of Khovanov homology for tangles has significant potential applications, yet explicit computational studies remain limited. In this work, we present a method for computing the Khovanov homology of tangles via an arc reduction approach, and we derive the Poincaré polynomial for simple tangles. Furthermore, we compute the Poincaré polynomials of tangles with at most three crossings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Computing Khovanov homology of tangles Shen, Li Liu, Jian Wei, Guo-Wei Geometric Topology General Topology Primary 57K18, Secondary 57K10, 57K18 The computation of Khovanov homology for tangles has significant potential applications, yet explicit computational studies remain limited. In this work, we present a method for computing the Khovanov homology of tangles via an arc reduction approach, and we derive the Poincaré polynomial for simple tangles. Furthermore, we compute the Poincaré polynomials of tangles with at most three crossings. |
| title | Computing Khovanov homology of tangles |
| topic | Geometric Topology General Topology Primary 57K18, Secondary 57K10, 57K18 |
| url | https://arxiv.org/abs/2508.14398 |