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Supersymmetry and Equivariant de Rham Theory [Hardcover]

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Item description for Supersymmetry and Equivariant de Rham Theory by 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. Brning 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.

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Item Specifications...

Pages   228
Est. Packaging Dimensions:   Length: 9.53" Width: 6.3" Height: 0.79"
Weight:   1.06 lbs.
Binding  Hardcover
Release Date   Jun 11, 1999
Publisher   Springer
ISBN  354064797X  
ISBN13  9783540647973  

Availability  65 units.
Availability accurate as of Oct 20, 2016 04:05.
Usually ships within one to two business days from La Vergne, TN.
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1Books > Bargain Books > Children > Science, Nature & How It Works
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8Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory
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Reviews - What do customers think about Supersymmetry and Equivariant de Rham Theory?

From Geometry to Algebra  Dec 22, 1999
This book is inspired by Cartan's two seminal papers about the topological implications of Lie groups acting on manifolds. In fact, the two papers are reprinted in the back of the book.

There is not much new mathematics needed to extract the category of G^* algebras and to develop their equivariant cohomology. This abstraction has fascinating implications.

There are chapters treating special topics in detail, such as spectral sequences and fermionic integration. Throughout the book is well-written and clear.

Any person interested in equivariant cohomology or symplectic geometry should read this book!


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