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.
Збережено в:
| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-146357 |
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dspace |
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irk-123456789-1463572019-02-10T01:23:19Z A Note on Dirac Operators on the Quantum Punctured Disk Klimek, S. McBride, M. 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. 2010 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146357 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Klimek, S. McBride, M. |
| spellingShingle |
Klimek, S. McBride, M. A Note on Dirac Operators on the Quantum Punctured Disk Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Klimek, S. McBride, M. |
| author_sort |
Klimek, S. |
| title |
A Note on Dirac Operators on the Quantum Punctured Disk |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:24:20Z |
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