Combinatorics of Loop Equations for Branched Covers of Sphere
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| Publication date | 09-2018 |
| Journal | International Mathematics Research Notices |
| Volume | Issue number | 2018 | 18 |
| Pages (from-to) | 5638–5662 |
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| Abstract | We prove, in a purely combinatorial way, the spectral curve topological recursion for the problem of enumeration of bi-colored maps, which are dual objects to dessins d’enfant. Furthermore, we give a proof of the quantum spectral curve equation for this problem. Then we consider the generalized case of four-colored maps and outline the idea of the proof of the corresponding spectral curve topological recursion. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.48550/arXiv.1412.1698 https://doi.org/10.1093/imrn/rnx047 |
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