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Symmetry of meromorphic differentials produced by involution identity and relation to integer partitionsOpen Access

Hock, Alexander; Shadrin, Sergey;Wulkenhaar, Raimar

Research article (journal) | Peer reviewed

Abstract

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

Journal: Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions (AIHPD)
Volume: online first
Status: accepted / in press (not yet published)
Release year: 2026
Language in which the publication is written: English
DOI: 10.4171/AIHPD/231
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)