Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms
Differential Geometry
2024-08-27 v2
Abstract
In this paper we introduce the magnetic Hodge Laplacian, which is a generalization of the magnetic Laplacian on functions to differential forms. We consider various spectral results, which are known for the magnetic Laplacian on functions or for the Hodge Laplacian on differential forms, and discuss similarities and differences of this new ``magnetic-type'' operator.
Cite
@article{arxiv.2211.08019,
title = {Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms},
author = {Michela Egidi and Katie Gittins and Georges Habib and Norbert Peyerimhoff},
journal= {arXiv preprint arXiv:2211.08019},
year = {2024}
}