Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions
Hock, Alexander; Shadrin, Sergey;Wulkenhaar, Raimar
Research article in digital collection | Preprint | Peer reviewedAbstract
We prove that meromorphic differentials ω(0)n(z1,...,zn) which are recursively generated by an involution identity are symmetric in all their arguments z1,...,zn. The proof involves an intriguing combinatorial identity between integer partitions into given number of parts.
Details about the publication
Name of the repository: arXiv
Article number: 2501.00082
Status: submitted / under review
Release year: 2025
Language in which the publication is written: English
Link to the full text: https://doi.org/10.48550/arXiv.2501.00082
Keywords: Meromorphic forms on Riemann surfaces; Residue calculus; Involution; Integer partitions.
Authors from the University of Münster
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |