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Pré-Publication, Document De Travail Année : 2020

SPECTRAL ASYMPTOTICS FOR THE SEMICLASSICAL BOCHNER LAPLACIAN OF A LINE BUNDLE WITH CONSTANT RANK CURVATURE

Résumé

The goal of this paper is manyfold. Firstly, we want to give a short introduction to the Bochner Laplacian and explain why it acts locally as a magnetic Laplacian. Secondly, given a confining magnetic field, we use Agmon-like estimates to reduce its spectral study to magnetic Laplacians, in the semiclassical limit. Finally, we use this to translate already-known spectral asymptotics for the magnetic Laplacian to the Bochner Laplacian.
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Dates et versions

hal-02953605 , version 1 (30-09-2020)

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Léo Morin. SPECTRAL ASYMPTOTICS FOR THE SEMICLASSICAL BOCHNER LAPLACIAN OF A LINE BUNDLE WITH CONSTANT RANK CURVATURE. 2020. ⟨hal-02953605⟩
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