An irregular spectral curve for the generation of bipartite maps in topological recursion
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866908302945812480 |
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| author | Branahl, Johannes Hock, Alexander |
| author_facet | Branahl, Johannes Hock, Alexander |
| contents | We derive an efficient way to obtain generating functions of bipartite maps of arbitrary genus and boundary length using a spectral curve as initial data for the framework of topological recursion. Based on an earlier result of Chapuy and Fang counting these maps and having a structural proximity to topological recursion, we deduce the corresponding spectral curve which has a strong relation to the spectral curve giving rise to generating functions of ordinary maps. In contrast to ordinary maps, the spectral curve is an irregular one in the sense of Do and Norbury. It generalises the irregular curve for the enumeration of Grothendieck's dessins d'enfant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_05181 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An irregular spectral curve for the generation of bipartite maps in topological recursion Branahl, Johannes Hock, Alexander Mathematical Physics 05A15, 14N10, 14H70, 30F30 We derive an efficient way to obtain generating functions of bipartite maps of arbitrary genus and boundary length using a spectral curve as initial data for the framework of topological recursion. Based on an earlier result of Chapuy and Fang counting these maps and having a structural proximity to topological recursion, we deduce the corresponding spectral curve which has a strong relation to the spectral curve giving rise to generating functions of ordinary maps. In contrast to ordinary maps, the spectral curve is an irregular one in the sense of Do and Norbury. It generalises the irregular curve for the enumeration of Grothendieck's dessins d'enfant. |
| title | An irregular spectral curve for the generation of bipartite maps in topological recursion |
| topic | Mathematical Physics 05A15, 14N10, 14H70, 30F30 |
| url | https://arxiv.org/abs/2204.05181 |