Equivariant Cohomology in Topology

Victor W. Guillemin, Shlomo Sternberg and Jochen Brüning
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Victor W. Guillemin: Massachusetts Institute of Technology, Department of Mathematics
Shlomo Sternberg: Harvard University, Department of Mathematics
Jochen Brüning: Humboldt-Universität Berlin, Institut für Mathematik Mathematisch-Naturwissenschaftliche Fakultät II

Chapter Chapter 1 in Supersymmetry and Equivariant de Rham Theory, 1999, pp 1-7 from Springer

Abstract: Abstract Let G be a compact Lie group acting on a topological space X. We say that this action is free if, for every p ∈ X,the stabilizer group of p consists solely of the identity. In other words, the action is free if, for every a ∈ G, a ≠ e, the action of a on X has no fixed points. If G acts freely on X then the quotient space X/G is usually as nice a topological space as X itself. For instance, if X is a manifold then so is X/G.

Keywords: Topological Space; Principal Bundle; Equivariant Cohomology; Bibliographical Note; Contractible Space (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-3-662-03992-2_1

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