KP integrability through the x - y swap relation
| Authors |
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| Publication date | 04-2025 |
| Journal | Selecta Mathematica, New Series |
| Article number | 42 |
| Volume | Issue number | 31 | 2 |
| Number of pages | 37 |
| Organisations |
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| Abstract | We discuss a universal relation that we call the x - y swap relation, which plays a prominent role in the theory of topological recursion, Hurwitz theory, and free probability theory. We describe in a very precise and detailed way the interaction of the x - y swap relation and KP integrability. As an application, we prove a recent conjecture that relates some particular instances of topological recursion to the Mironov–Morozov–Semenoff matrix integrals. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s00029-025-01035-8 |
| Other links | https://www.scopus.com/pages/publications/105002715255 |
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KP integrability through the x - y swap relation
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