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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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2007-09-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://www.emis.de/journals/SIGMA/2007/090/ |
| _version_ | 1818965089461469184 |
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| author | Thomas P. Branson |
| author_facet | Thomas P. Branson |
| author_sort | Thomas P. Branson |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-20T13:11:28Z |
| format | Article |
| id | doaj.art-be28f92e0909488fad6c9510acd92c3f |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-20T13:11:28Z |
| publishDate | 2007-09-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-be28f92e0909488fad6c9510acd92c3f2022-12-21T19:39:40ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-09-013090Q-Curvature, Spectral Invariants, and Representation TheoryThomas P. BransonWe 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.http://www.emis.de/journals/SIGMA/2007/090/conformal differential geometryfunctional determinantconformal index |
| spellingShingle | Thomas P. Branson Q-Curvature, Spectral Invariants, and Representation Theory Symmetry, Integrability and Geometry: Methods and Applications conformal differential geometry functional determinant conformal index |
| 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 |
| topic | conformal differential geometry functional determinant conformal index |
| url | http://www.emis.de/journals/SIGMA/2007/090/ |
| work_keys_str_mv | AT thomaspbranson qcurvaturespectralinvariantsandrepresentationtheory |