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Heat Kernels and Dirac Operators (Grundlehren Text Editions)

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Description:In the first edition of this book, 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) were presented, 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 paperback.Introduction.- Background on Differential Geometry.- Asymptotic Expansion of the Heat Kernel.- Clifford Modules and Dirac Operators.- Index Density of Dirac Operators.- The Exponential Map and the Index Density.- The Equivariant Index Theorem.- Equivariant Differential Forms.- The Kirillov Formula for the Equivariant Index.- The Index Bundle.- The Family Index Theorem.- Bibliography.- List of Notations.- Index.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Heat Kernels and Dirac Operators (Grundlehren Text Editions). To get started finding Heat Kernels and Dirac Operators (Grundlehren Text Editions), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 3540200622

Description: In the first edition of this book, 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) were presented, 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 paperback.Introduction.- Background on Differential Geometry.- Asymptotic Expansion of the Heat Kernel.- Clifford Modules and Dirac Operators.- Index Density of Dirac Operators.- The Exponential Map and the Index Density.- The Equivariant Index Theorem.- Equivariant Differential Forms.- The Kirillov Formula for the Equivariant Index.- The Index Bundle.- The Family Index Theorem.- Bibliography.- List of Notations.- Index.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Heat Kernels and Dirac Operators (Grundlehren Text Editions). To get started finding Heat Kernels and Dirac Operators (Grundlehren Text Editions), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Heat Kernels and Dirac Operators (Grundlehren Text Editions)

Heat Kernels and Dirac Operators (Grundlehren Text Editions)

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