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Heat Kernels and Dirac Operators

Language EnglishEnglish
Book Paperback
Book Heat Kernels and Dirac Operators Nicole Berline
Libristo code: 04446423
Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, December 2003
The first edition of this book presented simple proofs of the Atiyah-Singer Index Theorem for Dirac... Full description
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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 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.

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About the book

Full name Heat Kernels and Dirac Operators
Author Nicole Berline
Language English
Binding Book - Paperback
Date of issue 2003
Number of pages 363
EAN 9783540200628
ISBN 3540200622
Libristo code 04446423
Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Weight 582
Dimensions 233 x 156 x 24

Categories

Mathematics & Science > Mathematics > Calculus & mathematical analysis > Functional analysis & transforms
Mathematics & Science > Mathematics > Geometry > Differential & Riemannian geometry
Mathematics & Science > Mathematics > Groups & group theory
Mathematics & Science > Physics > Mathematical physics
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