Download E-books Heat Kernels and Dirac Operators (Grundlehren der mathematischen Wissenschaften) PDF

By Nicole Berline

The first version of this publication provided easy 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), utilizing an specific geometric building of the warmth kernel of a generalized Dirac operator; the hot version makes this renowned booklet on hand to scholars and researchers in an enticing softcover. the 1st 4 chapters might be used because the textual content for a graduate path at the purposes of linear elliptic operators in differential geometry and the one necessities are a familiarity with uncomplicated differential geometry. the following 4 chapters speak about the equivariant index theorem, and comprise an invaluable creation to equivariant differential varieties. The final chapters supply an evidence, within the spirit of the e-book, of Bismut's neighborhood kinfolk Index Theorem for Dirac operators.

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