Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms

Egidi, Michela; Gittins, Katie; Habib, Georges; Peyerimhoff, Norbert

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.

Citation

Egidi, M., Gittins, K., Habib, G., & Peyerimhoff, N. (2023). Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms. Journal of Spectral Theory, 13(4), 1297-1343. https://doi.org/10.4171/JST/480

• Journal Article Type: Article
• Acceptance Date: Oct 23, 2023
• Online Publication Date: Feb 13, 2024
• Publication Date: 2023
• Deposit Date: Oct 31, 2023
• Publicly Available Date: Mar 20, 2024
• Journal: Journal of Spectral Theory
• Print ISSN: 1664-039X
• Electronic ISSN: 1664-0403
• Publisher: EMS Press
• Peer Reviewed: Peer Reviewed
• Volume: 13
• Issue: 4
• Pages: 1297-1343
• DOI: https://doi.org/10.4171/JST/480
• Public URL: https://durham-repository.worktribe.com/output/1871832
• Related Public URLs: https://doi.org/10.48550/arXiv.2211.08019