Supersymmetry and Equivariant de Rham Theory by Shlomo Sternberg (English) Paper

Description: Supersymmetry and Equivariant de Rham Theory by Shlomo Sternberg, Jochen BrÜning, Victor W. Guillemin Equivariant cohomology on smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. The well known topological approach is linked with the differential form aspect through the equivariant de Rahm theorem. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Equivariant cohomology on smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. BrÜning and V.W. Guillemin. The point of departure are two relatively short but very remarkable papers be Henry Cartan, published in 1950 in the Proceedings of the "Colloque de Topologie". These papers are reproduced here, together with a modern introduction to the subject, written by two of the leading experts in the field. This "introduction" comes as a textbook of its own, though, presenting the first full treatment of equivariant cohomology in the de Rahm setting. The well known topological approach is linked with the differential form aspect through the equivariant de Rahm theorem. The systematic use of supersymmetry simplifies considerably the ensuing development of the basic technical tools which are then applied to a variety of subjects, leading up to the localization theorems and other very recent results. Notes The subject of the book is the equivariant cohomology theory of differentiable manifolds. Although this subject has gained great popularity since the early 1980s, 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 the field. Back Cover Equivariant cohomology in the framework of smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. Br Author Biography 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 Cartans seminal work, which also help to place things in a broader context. This approach sheds light on many of Cartans 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." Table of Contents 1 Equivariant Cohomology in Topology.- 3 The Weil Algebra.- 4 The Weil Model and the Cartan Model.- 5 Cartans Formula.- 6 Spectral Sequences.- 7 Fermionic Integration.- 8 Characteristic Classes.- 9 Equivariant Symplectic Forms.- 10 The Thom Class and Localization.- 11 The Abstract Localization Theorem.- Notions dalgèbre différentielle; application aux groupes de Lie et aux variétés oÙ opère un groupe de Lie: Henri Cartan.- La transgression dans un groupe de Lie et dans un espace fibré principal: Henri Cartan. Review 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 Cartans seminal work, which also help to place things in a broader context. This approach sheds light on many of Cartans 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." Promotional Springer Book Archives Long Description Equivariant cohomology on smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. Br Review Quote 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 Cartans seminal work, which also help to place things in a broader context. This approach sheds light on many of Cartans 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." Feature The subject of the book is the equivariant cohomology theory of differentiable manifolds. Although this subject has gained great popularity since the early 1980s, 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 Details ISBN3642084338 Author Victor W. Guillemin Year 2010 ISBN-10 3642084338 ISBN-13 9783642084331 Format Paperback Publication Date 2010-12-05 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany DEWEY 510 Edition 1st Short Title SUPERSYMMETRY & EQUIVARIANT DE Language English Media Book Birth 1937 Pages 232 Illustrations XXIII, 232 p. DOI 10.1007/978-3-662-03992-2 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description Softcover reprint of hardcover 1st ed. 1999 Alternative 9783540647973 Edited by Jochen BrÜning Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96231091;

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