A Spectral Gap for Spinors on Hyperbolic Surfaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866913904453484544 |
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| author | Adve, Anshul Giri, Vikram |
| author_facet | Adve, Anshul Giri, Vikram |
| contents | The purpose of this note is to construct a sequence of spin hyperbolic surfaces $Σ_n$ with genus going to infinity and with a uniform spectral gap for the Dirac operator. Our construction is completely explicit. In particular, the $Σ_n$ can be taken to be a tower of covers, with each $Σ_n$ an arithmetic hyperbolic surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17092 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Spectral Gap for Spinors on Hyperbolic Surfaces Adve, Anshul Giri, Vikram Number Theory Differential Geometry Spectral Theory 58J50 The purpose of this note is to construct a sequence of spin hyperbolic surfaces $Σ_n$ with genus going to infinity and with a uniform spectral gap for the Dirac operator. Our construction is completely explicit. In particular, the $Σ_n$ can be taken to be a tower of covers, with each $Σ_n$ an arithmetic hyperbolic surface. |
| title | A Spectral Gap for Spinors on Hyperbolic Surfaces |
| topic | Number Theory Differential Geometry Spectral Theory 58J50 |
| url | https://arxiv.org/abs/2506.17092 |