Dilogarithm identities of higher degree and cluster $a$-variable periodicity
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913940819148800 |
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| author | Nash, Zachary Rupel, Dylan |
| author_facet | Nash, Zachary Rupel, Dylan |
| contents | We use the periodicities of cluster groupoid mutations established by Li and the second author to prove that the dilogarithm identities of higher degree obtained by Nakanishi follow from the classical dilogarithm identities associated to a periodicity of cluster mutations when the exchange matrix is full rank. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10555 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dilogarithm identities of higher degree and cluster $a$-variable periodicity Nash, Zachary Rupel, Dylan Rings and Algebras Combinatorics 13F60, 33E20 We use the periodicities of cluster groupoid mutations established by Li and the second author to prove that the dilogarithm identities of higher degree obtained by Nakanishi follow from the classical dilogarithm identities associated to a periodicity of cluster mutations when the exchange matrix is full rank. |
| title | Dilogarithm identities of higher degree and cluster $a$-variable periodicity |
| topic | Rings and Algebras Combinatorics 13F60, 33E20 |
| url | https://arxiv.org/abs/2507.10555 |