Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866909295370567680 |
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| author | Egidi, Michela Gittins, Katie Habib, Georges Peyerimhoff, Norbert |
| author_facet | Egidi, Michela Gittins, Katie Habib, Georges Peyerimhoff, Norbert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_08019 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms Egidi, Michela Gittins, Katie Habib, Georges Peyerimhoff, Norbert Differential Geometry 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. |
| title | Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2211.08019 |