Quantization of the Laplacian operator on vector bundles I
Differential Geometry
2015-05-15 v1 Mathematical Physics
Complex Variables
math.MP
Abstract
Let be a holomorphic Hermitian vector bundle over a polarized manifold. We provide a canonical quantization of the Laplacian operator acting on sections of the bundle of Hermitian endomorphisms of . If is simple we obtain an approximation of the eigenvalues and eigenspaces of the Laplacian.
Keywords
Cite
@article{arxiv.1505.03836,
title = {Quantization of the Laplacian operator on vector bundles I},
author = {Julien Keller and Julien Meyer and Reza Seyyedali},
journal= {arXiv preprint arXiv:1505.03836},
year = {2015}
}