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Field name	Details
Dewey Class	514.2
Title	Supersymmetry and Equivariant de Rham Theory ([EBook]) / by Victor W. Guillemin, Shlomo Sternberg, Jochen Brüning.
Author	Guillemin, Victor W. , 1937-
Added Personal Name	Sternberg, Shlomo
Added Personal Name	Brüning, Jochen
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1999.
Physical Details	XXIII, 232 pages : online resource.
ISBN	9783662039922
Summary Note	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.:
Contents note	1 Equivariant Cohomology in Topology -- 3 The Weil Algebra -- 4 The Weil Model and the Cartan Model -- 5 Cartan’s Formula -- 6 Spectral Sequences -- 7 Fermionic Integration -- 8 Characteristic Classes -- 9 Equivariant Symplectic Forms -- 10 The Thom Class and Localization -- 11 The Abstract Localization Theorem -- Notions d’algèbre différentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie: Henri Cartan -- La transgression dans un groupe de Lie et dans un espace fibré principal: Henri Cartan.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-03992-2
Links to Related Works	Subject References: Algebraic Topology . Differential Geometry . Mathematics . Physics . Theoretical, Mathematical and Computational Physics . Authors: author . Brüning, Jochen . Guillemin, Victor W. 1937- . Guillemin, Victor W., 1937- . Sternberg, Shlomo . Corporate Authors: SpringerLink (Online service) . Classification: 514.2 .

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Supersymmetry and Equivariant de Rham Theory

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