| Supersymmetry and Equivariant de Rham Theory 1999 Edition Contributor(s): Guillemin, Victor W. (Author), Brüning, Jochen (Editor), Sternberg, Shlomo (Author) |
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ISBN: 354064797X ISBN-13: 9783540647973 Publisher: Springer OUR PRICE: $113.99 Product Type: Hardcover - Other Formats Published: May 1999 Annotation: Equivariant cohomology on smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. Br??ning 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Mathematics | Geometry - Differential - Science | Physics - Mathematical & Computational |
| Dewey: 514.23 |
| LCCN: 99018482 |
| Physical Information: 0.75" H x 9.44" W x 6.43" (1.09 lbs) 232 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |