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.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...