Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients
Differential Geometry
2025-09-16 v1 Complex Variables
Spectral Theory
Abstract
We prove a Weyl-type theorem for the Kohn Laplacian on sphere quotients as CR manifolds. We show that we can determine the fundamental group from the spectrum of the Kohn Laplacian in dimension three. Furthermore, we prove Sobolev estimates for the complex Green's operator on these quotient manifolds.
Cite
@article{arxiv.2509.11463,
title = {Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients},
author = {Adam Cohen and Yash Rastogi and Samuel Sottile and Yunus Zeytuncu},
journal= {arXiv preprint arXiv:2509.11463},
year = {2025}
}