Asymptotic coefficients of Weil-Petersson volumes in the large genus
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910780684763136 |
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| author | Huang, Xuanyu |
| author_facet | Huang, Xuanyu |
| contents | Mirzakhani-Zograf proved the large genus asymptotic expansions of Weil-Petersson volumes and showed that the asymptotic coefficients are polynomials in $\mathbb Q[π^{-2},π^2]$. They also conjectured that these are actually polynomials in $\mathbb Q[π^{-2}]$. In this paper, we prove Mirzakhani-Zograf's conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06421 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic coefficients of Weil-Petersson volumes in the large genus Huang, Xuanyu Algebraic Geometry Mathematical Physics Combinatorics Mirzakhani-Zograf proved the large genus asymptotic expansions of Weil-Petersson volumes and showed that the asymptotic coefficients are polynomials in $\mathbb Q[π^{-2},π^2]$. They also conjectured that these are actually polynomials in $\mathbb Q[π^{-2}]$. In this paper, we prove Mirzakhani-Zograf's conjecture. |
| title | Asymptotic coefficients of Weil-Petersson volumes in the large genus |
| topic | Algebraic Geometry Mathematical Physics Combinatorics |
| url | https://arxiv.org/abs/2501.06421 |