Iterated integrals and cohomology
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913610757832704 |
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| author | Bringmann, Kathrin Diamantis, Nikolaos |
| author_facet | Bringmann, Kathrin Diamantis, Nikolaos |
| contents | We introduce an extension of the standard cohomology which is characterised by maps that fail to be classical cocycles by products of simpler maps. The construction is motivated by the study of Manin's noncommutative modular symbols and of false theta functions. We use this construction to obtain a cohomological interpretation of important iterated integrals that arise in that study. In another direction, our approach gives modular counterparts to the long-studied relations among multiple zeta values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10234 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iterated integrals and cohomology Bringmann, Kathrin Diamantis, Nikolaos Number Theory 11F67, 11M32, 55T25 We introduce an extension of the standard cohomology which is characterised by maps that fail to be classical cocycles by products of simpler maps. The construction is motivated by the study of Manin's noncommutative modular symbols and of false theta functions. We use this construction to obtain a cohomological interpretation of important iterated integrals that arise in that study. In another direction, our approach gives modular counterparts to the long-studied relations among multiple zeta values. |
| title | Iterated integrals and cohomology |
| topic | Number Theory 11F67, 11M32, 55T25 |
| url | https://arxiv.org/abs/2412.10234 |