The Atiyah Patodi Singer Index Theorem
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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 Patodi Singer Index Theorem
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Author : Richard B. Melrose
language : en
Publisher: A K Peters/CRC Press
Release Date : 1993
The Atiyah Patodi Singer Index Theorem written by Richard B. Melrose and has been published by A K Peters/CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 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 Patodi Singer Index Theorem For Manifolds With Corners
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Author : Gorm Salomonsen
language : de
Publisher:
Release Date : 1997
The Atiyah Patodi Singer Index Theorem For Manifolds With Corners written by Gorm Salomonsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
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.
Collected Papers Of V K Patodi
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Author : Vijay Kumar Patodi
language : en
Publisher: World Scientific
Release Date : 1996
Collected Papers Of V K Patodi written by Vijay Kumar Patodi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Vijay Kumar Patodi was a brilliant Indian mathematicians who made, during his short life, fundamental contributions to the analytic proof of the index theorem and to the study of differential geometric invariants of manifolds. This set of collected papers edited by Prof M Atiyah and Prof Narasimhan includes his path-breaking papers on the McKean-Singer conjecture and the analytic proof of Riemann-Roch-Hirzebruch theorem for Kähler manifolds. It also contains his celebrated joint papers on the index theorem and the Atiyah-Patodi-Singer invariant.
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.
The Atiyah Singer Index Theorem
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Author : Patrick Shanahan
language : en
Publisher:
Release Date : 1978
The Atiyah Singer Index Theorem written by Patrick Shanahan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
K Theory
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Author : Michael Atiyah
language : en
Publisher: CRC Press
Release Date : 2018-03-05
K Theory written by Michael Atiyah and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-05 with Mathematics categories.
These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.The theory is taken as far as the solution of the Hopf invariant problem and a start is mode on the J-homomorphism. In addition to the lecture notes proper, two papers of mine published since 1964 have been reproduced at the end. The first, dealing with operations, is a natural supplement to the material in Chapter III. It provides an alternative approach to operations which is less slick but more fundamental than the Grothendieck method of Chapter III, and it relates operations and filtration. Actually, the lectures deal with compact spaces, not cell-complexes, and so the skeleton-filtration does not figure in the notes. The second paper provides a new approach to K-theory and so fills an obvious gap in the lecture notes.
The Atiyah Patodi Singer Index Theorem For Manifolds With Corners
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Author : Gorm Salomonsen
language : en
Publisher:
Release Date : 1997
The Atiyah Patodi Singer Index Theorem For Manifolds With Corners written by Gorm Salomonsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Notes On Seiberg Witten Theory
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Author : Liviu I. Nicolaescu
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Notes On Seiberg Witten Theory written by Liviu I. Nicolaescu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
After background on elliptic equations, Clifford algebras, Dirac operators, and Fredholm theory, chapters introduce solutions of the Seiberg-Witten equations and the group of gauge transformations, then look at algebraic surfaces. A final chapter presents in great detail a cut-and-paste technique for computing Seiberg-Witten invariants, covering elliptic equations on manifolds with cylindrical ends, finite energy monopoles on cylindrical manifolds, local and global properties of the moduli spaces of finite energy monopoles, and the process of reconstructing the space of monopoles on a 4-manifold decomposed into several parts by a hypersurface. Annotation copyrighted by Book News, Inc., Portland, OR.