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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2010 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2010
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| Online Zugang: | 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 |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146357 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A Note on Dirac Operators on the Quantum Punctured Disk |
| spellingShingle |
A Note on Dirac Operators on the Quantum Punctured Disk Klimek, S. McBride, M. |
| title_short |
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_sort |
note on dirac operators on the quantum punctured disk |
| author |
Klimek, S. McBride, M. |
| author_facet |
Klimek, S. McBride, M. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146357 |
| 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. |
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2025-12-07T19:11:12Z |
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