Heptagon relations from a simplicial 3-cocycle, and their cohomology
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866909716432551936 |
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| author | Korepanov, Igor G. |
| author_facet | Korepanov, Igor G. |
| contents | We introduce new algebraic structures associated with heptagon relations -- higher analogue of the well-known pentagon. The main points we deal with are: (i) polygon relations as algebraic imitations of Pachner moves, on the example of heptagon, (ii) parameterization of heptagon relations by simplicial 3-cocycles, (iii) applications to invariants of pairs "piecewise linear 5-manifold, a 3rd cohomology class on it". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07774 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Heptagon relations from a simplicial 3-cocycle, and their cohomology Korepanov, Igor G. Quantum Algebra 15A24, 57K16, 57Q99 We introduce new algebraic structures associated with heptagon relations -- higher analogue of the well-known pentagon. The main points we deal with are: (i) polygon relations as algebraic imitations of Pachner moves, on the example of heptagon, (ii) parameterization of heptagon relations by simplicial 3-cocycles, (iii) applications to invariants of pairs "piecewise linear 5-manifold, a 3rd cohomology class on it". |
| title | Heptagon relations from a simplicial 3-cocycle, and their cohomology |
| topic | Quantum Algebra 15A24, 57K16, 57Q99 |
| url | https://arxiv.org/abs/2307.07774 |