Supersymmetry and Equivariant de Rham Theory
By: by Victor W. Guillemin, Shlomo Sternberg, Jochen Brüning
Contributors: Sternberg, Shlomo; Brüning, Jochen
Publisher: Springer Berlin Heidelberg
Published: 1999
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 229
ISBN-13: 9783642084331; 9783662039922
Subjects: Global differential geometry; Mathematics
Description: 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.
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