Dirac operators and spectral geometry:
The Dirac operator has many useful applications in theoretical physics and mathematics. This book provides a clear, concise and self-contained introduction to the global theory of the Dirac operator and to the analysis of spectral asymptotics with local or non-local boundary conditions. The theory i...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1998
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| Schriftenreihe: | Cambridge lecture notes in physics
12 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | The Dirac operator has many useful applications in theoretical physics and mathematics. This book provides a clear, concise and self-contained introduction to the global theory of the Dirac operator and to the analysis of spectral asymptotics with local or non-local boundary conditions. The theory is introduced at a level suitable for graduate students. Numerous examples are then given to illustrate the peculiar properties of the Dirac operator, and the role of boundary conditions in heat-kernel asymptotics and quantum field theory. Topics covered include the introduction of spin-structures in Riemannian and Lorentzian manifolds; applications of index theory; heat-kernel asymptotics for operators of Laplace type; quark boundary conditions; one-loop quantum cosmology; conformally covariant operators; and the role of the Dirac operator in some recent investigations of four-manifolds. This volume provides graduate students with a rigorous introduction and researchers with a valuable reference to the Dirac operator and its applications in theoretical physics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiii, 209 pages) |
| ISBN: | 9780511628795 |
| DOI: | 10.1017/CBO9780511628795 |
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| 520 | |a The Dirac operator has many useful applications in theoretical physics and mathematics. This book provides a clear, concise and self-contained introduction to the global theory of the Dirac operator and to the analysis of spectral asymptotics with local or non-local boundary conditions. The theory is introduced at a level suitable for graduate students. Numerous examples are then given to illustrate the peculiar properties of the Dirac operator, and the role of boundary conditions in heat-kernel asymptotics and quantum field theory. Topics covered include the introduction of spin-structures in Riemannian and Lorentzian manifolds; applications of index theory; heat-kernel asymptotics for operators of Laplace type; quark boundary conditions; one-loop quantum cosmology; conformally covariant operators; and the role of the Dirac operator in some recent investigations of four-manifolds. This volume provides graduate students with a rigorous introduction and researchers with a valuable reference to the Dirac operator and its applications in theoretical physics | ||
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Datensatz im Suchindex
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| author | Esposito, Giampiero |
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| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9780511628795 |
| format | Electronic eBook |
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| id | DE-604.BV043941989 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511628795 |
| language | English |
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| spelling | Esposito, Giampiero Verfasser aut Dirac operators and spectral geometry Giampiero Esposito Dirac Operators & Spectral Geometry Cambridge Cambridge University Press 1998 1 online resource (xiii, 209 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge lecture notes in physics 12 Title from publisher's bibliographic system (viewed on 05 Oct 2015) The Dirac operator has many useful applications in theoretical physics and mathematics. This book provides a clear, concise and self-contained introduction to the global theory of the Dirac operator and to the analysis of spectral asymptotics with local or non-local boundary conditions. The theory is introduced at a level suitable for graduate students. Numerous examples are then given to illustrate the peculiar properties of the Dirac operator, and the role of boundary conditions in heat-kernel asymptotics and quantum field theory. Topics covered include the introduction of spin-structures in Riemannian and Lorentzian manifolds; applications of index theory; heat-kernel asymptotics for operators of Laplace type; quark boundary conditions; one-loop quantum cosmology; conformally covariant operators; and the role of the Dirac operator in some recent investigations of four-manifolds. This volume provides graduate students with a rigorous introduction and researchers with a valuable reference to the Dirac operator and its applications in theoretical physics Mathematische Physik Spectral geometry Differential operators Mathematical physics Dirac-Operator (DE-588)4150118-4 gnd rswk-swf Spektralgeometrie (DE-588)4128531-1 gnd rswk-swf Spektralgeometrie (DE-588)4128531-1 s Dirac-Operator (DE-588)4150118-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-64862-2 https://doi.org/10.1017/CBO9780511628795 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Esposito, Giampiero Dirac operators and spectral geometry Mathematische Physik Spectral geometry Differential operators Mathematical physics Dirac-Operator (DE-588)4150118-4 gnd Spektralgeometrie (DE-588)4128531-1 gnd |
| subject_GND | (DE-588)4150118-4 (DE-588)4128531-1 |
| title | Dirac operators and spectral geometry |
| title_alt | Dirac Operators & Spectral Geometry |
| title_auth | Dirac operators and spectral geometry |
| title_exact_search | Dirac operators and spectral geometry |
| title_full | Dirac operators and spectral geometry Giampiero Esposito |
| title_fullStr | Dirac operators and spectral geometry Giampiero Esposito |
| title_full_unstemmed | Dirac operators and spectral geometry Giampiero Esposito |
| title_short | Dirac operators and spectral geometry |
| title_sort | dirac operators and spectral geometry |
| topic | Mathematische Physik Spectral geometry Differential operators Mathematical physics Dirac-Operator (DE-588)4150118-4 gnd Spektralgeometrie (DE-588)4128531-1 gnd |
| topic_facet | Mathematische Physik Spectral geometry Differential operators Mathematical physics Dirac-Operator Spektralgeometrie |
| url | https://doi.org/10.1017/CBO9780511628795 |
| work_keys_str_mv | AT espositogiampiero diracoperatorsandspectralgeometry AT espositogiampiero diracoperatorsspectralgeometry |