Infinitesimal Dilogarithm Satisfies Cluster Identities
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916981529116672 |
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| author | Unver, Sinan |
| author_facet | Unver, Sinan |
| contents | In this paper, we show that the infinitesimal dilogarithm and Kontsevich's one-and-a-half logarithm function satisfies the identities which result from periods in cluster patterns. We also prove that these cluster identities are a consequence of the pentagon relation in the infinitesimal case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00016 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinitesimal Dilogarithm Satisfies Cluster Identities Unver, Sinan Number Theory K-Theory and Homology 11G55, 13F60 In this paper, we show that the infinitesimal dilogarithm and Kontsevich's one-and-a-half logarithm function satisfies the identities which result from periods in cluster patterns. We also prove that these cluster identities are a consequence of the pentagon relation in the infinitesimal case. |
| title | Infinitesimal Dilogarithm Satisfies Cluster Identities |
| topic | Number Theory K-Theory and Homology 11G55, 13F60 |
| url | https://arxiv.org/abs/2510.00016 |