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Author(s): | Victor W. Guillemin, Shlomo Sternberg | |||
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Publisher: | Springer | |||
Year: | 1999 | |||
Language: | English | |||
Pages: | 128 pages | |||
Size: | 2.23 MB | |||
Extension: | DJVU | |||
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[content title="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. Brning 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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[content title="About the author"]Victor William Guillemin (born 1937 in Boston) is an American mathematician working in the field of symplectic geometry, who has also made contributions to the fields of microlocal analysis, spectral theory, and mathematical physics. Shlomo Zvi Sternberg est un mathématicien et professeur américain, connu pour son travail en géométrie et en géométrie symplectique. Rabbin orthodoxe, il est connu pour ses cours de Talmud.
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