Nicole Berline & Ezra Getzler 
Heat Kernels and Dirac Operators [PDF ebook] 

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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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язык английский ● Формат PDF ● ISBN 9783642580888 ● издатель Springer Berlin Heidelberg ● опубликованный 2024 ● Загружаемые 3 раз ● валюта EUR ● Код товара 9448986 ● Защита от копирования Adobe DRM
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