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arXiv · 2509.11463

Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients

Adam Cohen·Yash Rastogi·Samuel Sottile·Yunus Zeytuncu
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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.

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Adam Cohen, Yash Rastogi, Samuel Sottile, Yunus Zeytuncu. 2025-09-14. Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients. https://arxiv.org/abs/2509.11463

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