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180702 ||| eng |
| 020 |
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|a 9780511628795
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| 050 |
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4 |
|a QC20.7.S64
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| 100 |
1 |
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|a Esposito, Giampiero
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| 245 |
0 |
0 |
|a Dirac operators and spectral geometry
|c Giampiero Esposito
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| 246 |
3 |
1 |
|a Dirac Operators & Spectral Geometry
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| 260 |
|
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|a Cambridge
|b Cambridge University Press
|c 1998
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| 300 |
|
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|a xiii, 209 pages
|b digital
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| 653 |
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|a Spectral geometry
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| 653 |
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|a Differential operators
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| 653 |
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|a Mathematical physics
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b CBO
|a Cambridge Books Online
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| 490 |
0 |
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|a Cambridge lecture notes in physics
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| 856 |
4 |
0 |
|u https://doi.org/10.1017/CBO9780511628795
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 530.156362
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| 520 |
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|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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