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

Alexander Hock, Sergey Shadrin, Raimar Wulkenhaar

We prove that meromorphic differentials ${\omega }_n^{(0)}(z_1,...,z_n)$ which are recursively generated by an involution identity are symmetric in all their arguments $z_1,...,z_n$. The p…