2 papers
math.NT2025
A Spectral Gap for Spinors on Hyperbolic Surfaces
Anshul Adve, Vikram Giri
The purpose of this note is to construct a sequence of spin hyperbolic surfaces with genus going to infinity and with a uniform spectral gap for the Dirac operator. Our const…
math.GT2024
Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms
Amina Abdurrahman, Anshul Adve, Vikram Giri +2
We study two quantifications of being a homology sphere for hyperbolic 3-manifolds, one geometric and one topological: the spectral gap for the Laplacian on coclosed 1-forms and th…