Heat Kernels and Dirac Operators - Michèle Vergne,Ezra Getzler,Nicole Berline
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Saadetis 12-18 tööpäeva jooksul
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The first edition of this book presented simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut), using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive softcover. The fi ... Täielik kirjeldus
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Kirjeldus
The first edition of this book presented simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut), using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive softcover. The first four chapters could be used as the text for a graduate course on the applications of linear elliptic operators in differential geometry and the only prerequisites are a familiarity with basic differential geometry. The next four chapters discuss the equivariant index theorem, and include a useful introduction to equivariant differential forms. The last two chapters give a proof, in the spirit of the book, of Bismut's Local Family Index Theorem for Dirac operators.
Lisateave
| Autor | Michèle Vergne, Ezra Getzler, Nicole Berline |
|---|---|
| Kirjastaja | Springer Berlin Heidelberg |
| Series | Grundlehren Text Editions |
| Väljalaskeaasta | 2003 |
| Kaanetüüp | Pehme kaanega |
| EAN | 9783540200628 |