Q-Curvature, Spectral Invariants, and Representation Theory
We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations. We relate this to extremal problems and to the Q-curvature on even-dimensional conformal manifolds. The exposition is self...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147211 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Q-Curvature, Spectral Invariants, and Representation Theory / T.P. Branson // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 40 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862549614709702656 |
|---|---|
| author | Branson, T.P. |
| author_facet | Branson, T.P. |
| citation_txt | Q-Curvature, Spectral Invariants, and Representation Theory / T.P. Branson // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 40 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations. We relate this to extremal problems and to the Q-curvature on even-dimensional conformal manifolds. The exposition is self-contained, in the sense of giving references sufficient to allow the reader to work through all details.
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| first_indexed | 2025-11-25T20:36:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147211 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T20:36:33Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Branson, T.P. 2019-02-13T19:06:56Z 2019-02-13T19:06:56Z 2007 Q-Curvature, Spectral Invariants, and Representation Theory / T.P. Branson // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 40 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 58J52; 53A30 https://nasplib.isofts.kiev.ua/handle/123456789/147211 We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations. We relate this to extremal problems and to the Q-curvature on even-dimensional conformal manifolds. The exposition is self-contained, in the sense of giving references sufficient to allow the reader to work through all details. This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Q-Curvature, Spectral Invariants, and Representation Theory Article published earlier |
| spellingShingle | Q-Curvature, Spectral Invariants, and Representation Theory Branson, T.P. |
| title | Q-Curvature, Spectral Invariants, and Representation Theory |
| title_full | Q-Curvature, Spectral Invariants, and Representation Theory |
| title_fullStr | Q-Curvature, Spectral Invariants, and Representation Theory |
| title_full_unstemmed | Q-Curvature, Spectral Invariants, and Representation Theory |
| title_short | Q-Curvature, Spectral Invariants, and Representation Theory |
| title_sort | q-curvature, spectral invariants, and representation theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147211 |
| work_keys_str_mv | AT bransontp qcurvaturespectralinvariantsandrepresentationtheory |