A Note on Dirac Operators on the Quantum Punctured Disk
We study quantum analogs of the Dirac type operator −2z∂/∂z on the punctured disk, subject to the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded outside of the zero mode.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2010 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146357 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Note on Dirac Operators on the Quantum Punctured Disk / S. Klimek, M. McBride // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862728838746734592 |
|---|---|
| author | Klimek, S. McBride, M. |
| author_facet | Klimek, S. McBride, M. |
| citation_txt | A Note on Dirac Operators on the Quantum Punctured Disk / S. Klimek, M. McBride // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study quantum analogs of the Dirac type operator −2z∂/∂z on the punctured disk, subject to the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded outside of the zero mode.
|
| first_indexed | 2025-12-07T19:11:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146357 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:11:12Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Klimek, S. McBride, M. 2019-02-09T09:36:53Z 2019-02-09T09:36:53Z 2010 A Note on Dirac Operators on the Quantum Punctured Disk / S. Klimek, M. McBride // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 46L99; 47B25; 81R60 DOI:10.3842/SIGMA.2010.056 https://nasplib.isofts.kiev.ua/handle/123456789/146357 We study quantum analogs of the Dirac type operator −2z∂/∂z on the punctured disk, subject to the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded outside of the zero mode. This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Note on Dirac Operators on the Quantum Punctured Disk Article published earlier |
| spellingShingle | A Note on Dirac Operators on the Quantum Punctured Disk Klimek, S. McBride, M. |
| title | A Note on Dirac Operators on the Quantum Punctured Disk |
| title_full | A Note on Dirac Operators on the Quantum Punctured Disk |
| title_fullStr | A Note on Dirac Operators on the Quantum Punctured Disk |
| title_full_unstemmed | A Note on Dirac Operators on the Quantum Punctured Disk |
| title_short | A Note on Dirac Operators on the Quantum Punctured Disk |
| title_sort | note on dirac operators on the quantum punctured disk |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146357 |
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