A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate local boundary condition. We show that the resulting operators have compact reso...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146813 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere / S. Klimek, M. McBride // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862533412469866496 |
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| author | Klimek, S. McBride, M. |
| author_facet | Klimek, S. McBride, M. |
| citation_txt | A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere / S. Klimek, M. McBride // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate local boundary condition. We show that the resulting operators have compact resolvents, and so they are elliptic operators.
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| first_indexed | 2025-11-24T06:30:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146813 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T06:30:39Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Klimek, S. McBride, M. 2019-02-11T16:08:36Z 2019-02-11T16:08:36Z 2014 A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere / S. Klimek, M. McBride // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 46L99; 47B99; 81R60 DOI:10.3842/SIGMA.2014.036 https://nasplib.isofts.kiev.ua/handle/123456789/146813 The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate local boundary condition. We show that the resulting operators have compact resolvents, and so they are elliptic operators. The first author would like to thank W. Szymanski for interesting discussions that inspired this
 paper. We would also like to acknowledge the referees for insightful comments and remarks. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere Article published earlier |
| spellingShingle | A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere Klimek, S. McBride, M. |
| title | A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere |
| title_full | A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere |
| title_fullStr | A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere |
| title_full_unstemmed | A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere |
| title_short | A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere |
| title_sort | note on gluing dirac type operators on a mirror quantum two-sphere |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146813 |
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