Any Topological Recursion on a Rational Spectral Curve is KP Integrable
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| Publication date | 04-2026 |
| Journal | Communications in Mathematical Physics |
| Article number | 69 |
| Volume | Issue number | 407 | 4 |
| Number of pages | 17 |
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| Abstract | We prove that for any initial data on a genus zero spectral curve the corresponding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s00220-026-05566-9 |
| Other links | https://www.scopus.com/pages/publications/105033848509 |
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Any Topological Recursion on a Rational Spectral Curve is KP Integrable
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