Supersymmetry and Equivariant de Rham Theory
Victor W. Guillemin, Shlomo Sternberg
228 pages, parution le 01/07/1999
Résumé
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.
Contents
Introduction
1: Equivariant Cohomology in Topology
2: G* Modules
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
Appendix
Bibliography
Index
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Victor W. Guillemin, Shlomo Sternberg |
| Parution | 01/07/1999 |
| Nb. de pages | 228 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 496g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540647973 |
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