Authors:
The subject of the book is the equivariant cohomology theory of differentiable manifolds.
Although this subject has gained great popularity since the early 1980's, it has not before been the subject of a monograph and so the excellent and long-awaited book fills an important gap It covers almost all important aspects of the subject The authors are key authorities in this field
Includes supplementary material: sn.pub/extras
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
MATHEMATICAL REVIEWS
"The authors are very generous to the reader, and explain all the basics in a very clear and efficient manner. The understanding is enhanced by appealing to concepts which developed after Cartan’s seminal work, which also help to place things in a broader context. This approach sheds light on many of Cartan’s motivations, and helps the reader appreciate the beauty and the simplicity of his ideas…There are ‘gifts’ for the more advanced readers as well, in the form of many refreshing modern points of view proposed by the authors…The second part of the book is in my view a very convincing argument for the usefulness and versatility of this theory, and can also serve as a very good invitation to more detailed investigation. I learned a lot from this book, which is rich in new ideas. I liked the style and the respect the authors have for the readers. I also appreciated very much the bibliographical and historical comments at the end of each chapter. To conclude, I believe this book is a must have for any mathematician/physicist remotely interested in this subject."
Authors and Affiliations
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Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA
Victor W. Guillemin
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Department of Mathematics, Harvard University, Cambridge, USA
Shlomo Sternberg
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Institut für Mathematik Mathematisch-Naturwissenschaftliche Fakultät II, Humboldt-Universität Berlin, Berlin, Germany
Jochen Brüning
About the authors
From the reviews:
MATHEMATICAL REVIEWS
"The authors are very generous to the reader, and explain all the basics in a very clear and efficient manner. The understanding is enhanced by appealing to concepts which developed after Cartan’s seminal work, which also help to place things in a broader context. This approach sheds light on many of Cartan’s motivations, and helps the reader appreciate the beauty and the simplicity of his ideas…There are ‘gifts’ for the more advanced readers as well, in the form of many refreshing modern points of view proposed by the authors…The second part of the book is in my view a very convincing argument for the usefulness and versatility of this theory, and can also serve as a very good invitation to more detailed investigation. I learned a lot from this book, which is rich in new ideas. I liked the style and the respect the authors have for the readers. I also appreciated very much the bibliographical and historical comments at the end of each chapter. To conclude, I believe this book is a must have for any mathematician/physicist remotely interested in this subject."
Bibliographic Information
Book Title: Supersymmetry and Equivariant de Rham Theory
Authors: Victor W. Guillemin, Shlomo Sternberg, Jochen Brüning
DOI: https://doi.org/10.1007/978-3-662-03992-2
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1999
Hardcover ISBN: 978-3-540-64797-3Published: 04 May 1999
Softcover ISBN: 978-3-642-08433-1Published: 05 December 2010
eBook ISBN: 978-3-662-03992-2Published: 09 March 2013
Edition Number: 1
Number of Pages: XXIII, 232
Topics: Algebraic Topology, Differential Geometry, Theoretical, Mathematical and Computational Physics