Atiyah Singer Index Theorem An Introduction
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The Atiyah Singer Index Theorem
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Author : P. Shanahan
language : en
Publisher: Springer
Release Date : 2006-11-15
The Atiyah Singer Index Theorem written by P. Shanahan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Atiyah Singer Index Theorem An Introduction
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Author : Amiya Mukherjee
language : en
Publisher: Hindustan Book Agency
Release Date : 2013-10-30
Atiyah Singer Index Theorem An Introduction written by Amiya Mukherjee and has been published by Hindustan Book Agency this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-30 with Mathematics categories.
Offers a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is the classical index theorem and some of its applications, but not the subsequent developments and simplifications of the theory. The book is designed for a complete proof of the K-theoretic index theorem and its representation in terms of cohomological characteristic classes.
Atiyah Singer Index Theorem An Introduction
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Author : Amiya Mukherjee
language : en
Publisher: Springer
Release Date : 2013-10-30
Atiyah Singer Index Theorem An Introduction written by Amiya Mukherjee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-30 with Mathematics categories.
This monograph is a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is only the classical index theorem and some of its applications, but not the subsequent developments and simplifications of the theory. The book is designed for a complete proof of the K -theoretic index theorem and its representation in terms of cohomological characteristic classes. In an effort to make the demands on the reader's knowledge of background materials as modest as possible, the author supplies the proofs of almost every result. The applications include Hirzebruch signature theorem, Riemann-Roch-Hirzebruch theorem, and the Atiyah-Segal-Singer fixed point theorem, etc.
Invariance Theory
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Author : Peter B. Gilkey
language : en
Publisher: CRC Press
Release Date : 1994-12-22
Invariance Theory written by Peter B. Gilkey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-22 with Mathematics categories.
This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.
The Atiyah Singer Index Theorem
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Author : Patrick Shanathan
language : de
Publisher:
Release Date : 1978
The Atiyah Singer Index Theorem written by Patrick Shanathan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
The Atiyah Patodi Singer Index Theorem
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Author : Richard Melrose
language : en
Publisher: CRC Press
Release Date : 1993-03-31
The Atiyah Patodi Singer Index Theorem written by Richard Melrose and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-31 with Mathematics categories.
Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undoubtedly serve as a guide to further studies.
The Atiyah Singer Index Theorem
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Author : Norbert Adasch
language : en
Publisher:
Release Date : 1978
The Atiyah Singer Index Theorem written by Norbert Adasch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Fixed point theory categories.
Seminar On The Atiyah Singer Index Theorem
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Author : Michael Francis Atiyah
language : en
Publisher: Princeton University Press
Release Date : 1965-09-21
Seminar On The Atiyah Singer Index Theorem written by Michael Francis Atiyah and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-09-21 with Mathematics categories.
The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming.
Topology And Analysis
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Author : Bernhelm Booss
language : en
Publisher:
Release Date : 1985-01-01
Topology And Analysis written by Bernhelm Booss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-01-01 with Atiyah-Singer index theorem categories.
Heat Kernels And Dirac Operators
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Author : Nicole Berline
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-12-08
Heat Kernels And Dirac Operators written by Nicole Berline and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-08 with Mathematics categories.
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.