Supersymmetry and Equivariant de Rham Theory

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. Brüning and V. M. Guillemin. The point of departure are two relatively short but very remarkable papers by Henry Cartan, published in 1950 in the Proceedings...

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Main Authors: Guillemin, Victor W., Sternberg, Shlomo (Author)
Corporate Author: SpringerLink (Online service)
Other Authors: Brüning, Jochen (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1999, 1999
Edition:1st ed. 1999
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Supersymmetry and Equivariant de Rham Theory  |h Elektronische Ressource  |c by Victor W Guillemin, Shlomo Sternberg ; edited by Jochen Brüning 
250 |a 1st ed. 1999 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1999, 1999 
300 |a XXIII, 232 p  |b online resource 
505 0 |a 1 Equivariant Cohomology in Topology -- 3 The Weil Algebra -- 4 The Weil Model and the Cartan Model -- 5 Cartan’s 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 d’algèbre 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 
653 |a Differential geometry 
653 |a Algebraic Topology 
653 |a Differential Geometry 
653 |a Mathematical physics 
653 |a Algebraic topology 
653 |a Theoretical, Mathematical and Computational Physics 
700 1 |a Sternberg, Shlomo  |e [author] 
700 1 |a Brüning, Jochen  |e [editor] 
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520 |a 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. Brüning and V. M. Guillemin. The point of departure are two relatively short but very remarkable papers by Henry Cartan, published in 1950 in the Proceedings of the "Colloque de Topologie". These papers are reproduced here, together with a scholarly introduction to the subject from a modern point of view, written by two of the leading experts in the field. This "introduction", however, turns out to be a textbook of its own presenting the first full treatment of equivariant cohomology from the de Rahm theoretic perspective. The well established 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 (like symplectic geometry, Lie theory, dynamical systems, and mathematical physics), leading up to the localization theorems and recent results on the ring structure of the equivariant cohomology