Spectral asymmetry via pseudodifferential projections: the massless Dirac operator
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912306993037312 |
|---|---|
| author | Capoferri, Matteo Costeri, Beatrice Dappiaggi, Claudio |
| author_facet | Capoferri, Matteo Costeri, Beatrice Dappiaggi, Claudio |
| contents | A new approach to the study of spectral asymmetry for systems of partial differential equations (PDEs) on closed manifolds was proposed in a recent series of papers by the first author and collaborator. They showed that information on spectral asymmetry can be encoded within and recovered from a negative order pseudodifferential operator -- the asymmetry operator -- constructed from appropriately defined pseudodifferential (spectral) projections. In this manuscript we apply these techniques to the study of the massless Dirac operator; in particular, we compute the principal symbol of the asymmetry operator, accounting for the underlying gauge invariance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02336 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral asymmetry via pseudodifferential projections: the massless Dirac operator Capoferri, Matteo Costeri, Beatrice Dappiaggi, Claudio Mathematical Physics Analysis of PDEs Differential Geometry Spectral Theory A new approach to the study of spectral asymmetry for systems of partial differential equations (PDEs) on closed manifolds was proposed in a recent series of papers by the first author and collaborator. They showed that information on spectral asymmetry can be encoded within and recovered from a negative order pseudodifferential operator -- the asymmetry operator -- constructed from appropriately defined pseudodifferential (spectral) projections. In this manuscript we apply these techniques to the study of the massless Dirac operator; in particular, we compute the principal symbol of the asymmetry operator, accounting for the underlying gauge invariance. |
| title | Spectral asymmetry via pseudodifferential projections: the massless Dirac operator |
| topic | Mathematical Physics Analysis of PDEs Differential Geometry Spectral Theory |
| url | https://arxiv.org/abs/2504.02336 |