On discrete symmetries of the cube of smoothings
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866911247389163520 |
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| author | Horvat, Eva |
| author_facet | Horvat, Eva |
| contents | We study the Khovanov complex of closed piecewise linear curves in the 3-space. A polygonal link representation endows the cube of resolutions with an additional combinatorial structure. The set of symmetries preserving this structure and its quotient under link equivalence are studied. Our results offer new combinatorial ways of computing Khovanov homology and might lead to other group-theoretic invariants of links. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01446 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On discrete symmetries of the cube of smoothings Horvat, Eva Geometric Topology 57K10, 57K18 We study the Khovanov complex of closed piecewise linear curves in the 3-space. A polygonal link representation endows the cube of resolutions with an additional combinatorial structure. The set of symmetries preserving this structure and its quotient under link equivalence are studied. Our results offer new combinatorial ways of computing Khovanov homology and might lead to other group-theoretic invariants of links. |
| title | On discrete symmetries of the cube of smoothings |
| topic | Geometric Topology 57K10, 57K18 |
| url | https://arxiv.org/abs/2511.01446 |