Large genus asymptotics of super Weil-Petersson volumes
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912187652505600 |
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| author | Huang, Xuanyu |
| author_facet | Huang, Xuanyu |
| contents | In this paper, we obtain the asymptotic expansions of super intersection numbers and prove that the associated coefficients are polynomials. Moreover, we give an algorithm which can explicitly compute these coefficients. As an application, we prove the existence of a complete asymptotic expansion of super Weil-Petersson volumes in the large genus. This generalizes the celebrated work of Mirzakhani-Zograf. We also confirm two conjectural formulae proposed by Griguolo-Papalini-Russo-Seminara. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07848 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large genus asymptotics of super Weil-Petersson volumes Huang, Xuanyu Algebraic Geometry Mathematical Physics Combinatorics Differential Geometry In this paper, we obtain the asymptotic expansions of super intersection numbers and prove that the associated coefficients are polynomials. Moreover, we give an algorithm which can explicitly compute these coefficients. As an application, we prove the existence of a complete asymptotic expansion of super Weil-Petersson volumes in the large genus. This generalizes the celebrated work of Mirzakhani-Zograf. We also confirm two conjectural formulae proposed by Griguolo-Papalini-Russo-Seminara. |
| title | Large genus asymptotics of super Weil-Petersson volumes |
| topic | Algebraic Geometry Mathematical Physics Combinatorics Differential Geometry |
| url | https://arxiv.org/abs/2501.07848 |