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Bibliographic Details
Main Authors:	Huang, Zhengfei, Yang, Di
Format:	Preprint
Published:	2025
Subjects:	Mathematical Physics Combinatorics Exactly Solvable and Integrable Systems
Online Access:	https://arxiv.org/abs/2509.11848
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Table of Contents:

The $l$-hypermaps, $l\ge2$, which generalize (dual of) ribbon graphs ($l=2$ case), are interesting enumerative objects. In this paper, based on a theorem of Carlet--van de Leur--Posthuma--Shadrin and the matrix-resolvent method, we derive an explicit formula for $k$-point generating series of enumeration of $l$-hypermaps, which generalizes the one obtained in [30] for the $l=2$ case. We also generalize a theorem of Dubrovin [29].