Quantization of the Laplacian operator on vector bundles I

Julien Keller; Julien Meyer; Reza Seyyedali

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arXiv · 1505.03836

Quantization of the Laplacian operator on vector bundles I

Julien Keller·Julien Meyer·Reza Seyyedali

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Abstract

Let $(E,h)$ 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 $E$. If $E$ is simple we obtain an approximation of the eigenvalues and eigenspaces of the Laplacian.

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BibTeX RIS

Julien Keller, Julien Meyer, Reza Seyyedali. 2015-05-14. Quantization of the Laplacian operator on vector bundles I. https://arxiv.org/abs/1505.03836

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