On enumeration of $l$-hypermaps
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915495169490944 |
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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 |