Work

Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2509.11463

Authors: Cohen, Adam, Rastogi, Yash, Sottile, Samuel, Zeytuncu, Yunus

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415088443

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