Spectral gaps on thick part of moduli spaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913653103525888 |
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| author | Wu, Yunhui Zhang, Haohao |
| author_facet | Wu, Yunhui Zhang, Haohao |
| contents | In this paper, we study spectral gaps of closed hyperbolic surfaces for large genus. We show that for any fixed $k\geq 1$, as the genus goes to infinity, the maximum of $λ_k-λ_{k-1}$ over any thick part of the moduli space of closed Riemann surfaces approaches the limit $\frac{1}{4}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09266 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral gaps on thick part of moduli spaces Wu, Yunhui Zhang, Haohao Differential Geometry Complex Variables Geometric Topology Number Theory Spectral Theory In this paper, we study spectral gaps of closed hyperbolic surfaces for large genus. We show that for any fixed $k\geq 1$, as the genus goes to infinity, the maximum of $λ_k-λ_{k-1}$ over any thick part of the moduli space of closed Riemann surfaces approaches the limit $\frac{1}{4}$. |
| title | Spectral gaps on thick part of moduli spaces |
| topic | Differential Geometry Complex Variables Geometric Topology Number Theory Spectral Theory |
| url | https://arxiv.org/abs/2501.09266 |