On uniform large genus asymptotics of Witten's intersection numbers
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912968416952320 |
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| author | Guo, Jindong Yang, Di Zagier, Don |
| author_facet | Guo, Jindong Yang, Di Zagier, Don |
| contents | Following ideas from [14], we give a uniform large genus asymptotics for primitive psi-class intersection numbers on the moduli space of stable algebraic curves, and extend this result including insertions of zeros in a certain uniform way. Application to a particular formal solution of the Painlevé I equation is given. We also use a method from [14] to give a new proof of the polynomiality conjecture on large genus asymptotic expansions of psi-class intersection numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15233 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On uniform large genus asymptotics of Witten's intersection numbers Guo, Jindong Yang, Di Zagier, Don Mathematical Physics Algebraic Geometry Combinatorics Exactly Solvable and Integrable Systems Following ideas from [14], we give a uniform large genus asymptotics for primitive psi-class intersection numbers on the moduli space of stable algebraic curves, and extend this result including insertions of zeros in a certain uniform way. Application to a particular formal solution of the Painlevé I equation is given. We also use a method from [14] to give a new proof of the polynomiality conjecture on large genus asymptotic expansions of psi-class intersection numbers. |
| title | On uniform large genus asymptotics of Witten's intersection numbers |
| topic | Mathematical Physics Algebraic Geometry Combinatorics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2603.15233 |