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Supersymmetry and Equivariant de Rham Theory (Hardcover, 1999 ed.)
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Supersymmetry and Equivariant de Rham Theory (Hardcover, 1999 ed.)
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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. Bruning
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."
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