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cr 
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140122  eng 
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a 9783662039922

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1 

a Guillemin, Victor W.

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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

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a Berlin, Heidelberg
b Springer Berlin Heidelberg
c 1999, 1999

300 


a XXIII, 232 p
b online resource

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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

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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

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1 

a Sternberg, Shlomo
e [author]

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1 

a Brüning, Jochen
e [editor]

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a SpringerLink (Online service)

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0 
7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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u https://doi.org/10.1007/9783662039922?nosfx=y
x Verlag
3 Volltext

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0 

a 514.2

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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
