Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915095479582720 |
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| author | Hock, Alexander Shadrin, Sergey Wulkenhaar, Raimar |
| author_facet | Hock, Alexander Shadrin, Sergey Wulkenhaar, Raimar |
| contents | We prove that meromorphic differentials $ω^{(0)}_n(z_1,...,z_n)$ which are recursively generated by an involution identity are symmetric in all their arguments $z_1,...,z_n$. The proof involves an intriguing combinatorial identity between integer partitions into given number of parts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00082 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions Hock, Alexander Shadrin, Sergey Wulkenhaar, Raimar Complex Variables Mathematical Physics Combinatorics 05A17, 30D05, 32A20 We prove that meromorphic differentials $ω^{(0)}_n(z_1,...,z_n)$ which are recursively generated by an involution identity are symmetric in all their arguments $z_1,...,z_n$. The proof involves an intriguing combinatorial identity between integer partitions into given number of parts. |
| title | Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions |
| topic | Complex Variables Mathematical Physics Combinatorics 05A17, 30D05, 32A20 |
| url | https://arxiv.org/abs/2501.00082 |