A Spectral Gap for Spinors on Hyperbolic Surfaces
The purpose of this note is to construct a sequence of spin hyperbolic surfaces Σn with genus going to infinity and with a uniform spectral gap for the Dirac operator. Our construction is completely explicit. In particular, the Σn can be taken to be a tower of covers, with each Σn an arithmetic hyperbolic surface.
Authors
- Vikram Giri (ORCID: https://orcid.org/0000-0002-3047-9927)
- Anshul Adve
Publication Details
- Journal
- Repository for Publications and Research Data (ETH Zurich)
- Published
- 2025-06-20
- DOI
- https://doi.org/10.3929/ethz-c-000793540
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00