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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.
This is a digital product.
Supersymmetry and Equivariant de Rham Theory is written by Victor W Guillemin; Shlomo Sternberg and published by Springer. The Digital and eTextbook ISBNs for Supersymmetry and Equivariant de Rham Theory are 9783662039922, 3662039923 and the print ISBNs are 9783540647973, 354064797X.
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