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arXiv · 2501.00082

Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions

Alexander Hock·Sergey Shadrin·Raimar Wulkenhaar
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Abstract

We prove that meromorphic differentials $\omega^{(0)}_n(z_1,...,z_n)$ 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.

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Alexander Hock, Sergey Shadrin, Raimar Wulkenhaar. 2024-12-30. Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions. https://doi.org/10.4171/aihpd/231

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