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
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1999, 1999
Edition:1st ed. 1999
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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