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On enumeration of $l$-hypermaps

Fuente: arXiv

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Auteurs principaux:	Huang, Zhengfei, Yang, Di
Format:	Preprint
Publié:	2025
Sujets:	Mathematical Physics Combinatorics Exactly Solvable and Integrable Systems
Accès en ligne:	Acceder al recurso
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author	Huang, Zhengfei Yang, Di
author_facet	Huang, Zhengfei Yang, Di
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].
format	Preprint
id	arxiv_https___arxiv_org_abs_2509_11848
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	On enumeration of $l$-hypermaps Huang, Zhengfei Yang, Di Mathematical Physics Combinatorics Exactly Solvable and Integrable Systems 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].
title	On enumeration of $l$-hypermaps
topic	Mathematical Physics Combinatorics Exactly Solvable and Integrable Systems
url	https://arxiv.org/abs/2509.11848