Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators
We study how far APS boundary conditions for a Lorentzian Dirac operator may be perturbed without destroying Fredholmness of the Dirac operator. This is done by developing criteria under which the perturbation of a compact pair of projections is a Fredholm pair.
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2025 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/214196 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators. Lennart Ronge. SIGMA 21 (2025), 088, 13 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862750708603813888 |
|---|---|
| author | Ronge, Lennart |
| author_facet | Ronge, Lennart |
| citation_txt | Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators. Lennart Ronge. SIGMA 21 (2025), 088, 13 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study how far APS boundary conditions for a Lorentzian Dirac operator may be perturbed without destroying Fredholmness of the Dirac operator. This is done by developing criteria under which the perturbation of a compact pair of projections is a Fredholm pair.
|
| first_indexed | 2026-03-21T19:10:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-214196 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T19:10:27Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ronge, Lennart 2026-02-20T08:00:45Z 2025 Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators. Lennart Ronge. SIGMA 21 (2025), 088, 13 pages 1815-0659 2020 Mathematics Subject Classification: 58J20; 58J45; 58J32; 47A53 arXiv:2408.16696 https://nasplib.isofts.kiev.ua/handle/123456789/214196 https://doi.org/10.3842/SIGMA.2025.088 We study how far APS boundary conditions for a Lorentzian Dirac operator may be perturbed without destroying Fredholmness of the Dirac operator. This is done by developing criteria under which the perturbation of a compact pair of projections is a Fredholm pair. I would like to thank Christian Bar and Christoph Brinkmann for helpful discussions and feedback. Moreover, I would like to thank the anonymous referees for their detailed feedback. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators Article published earlier |
| spellingShingle | Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators Ronge, Lennart |
| title | Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators |
| title_full | Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators |
| title_fullStr | Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators |
| title_full_unstemmed | Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators |
| title_short | Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators |
| title_sort | perturbations of aps boundary conditions for lorentzian dirac operators |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/214196 |
| work_keys_str_mv | AT rongelennart perturbationsofapsboundaryconditionsforlorentziandiracoperators |