Atiyah, Michael F.; Bott, Raoul The moment map and equivariant cohomology. (English) Zbl 0521.58025 Topology 23, 1-28 (1984). Reviewer: K. H. Mayer (Dortmund) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 14 ReviewsCited in 365 Documents MathOverflow Questions: Is the localised \(S^1\)-equivariant cohomology of the free loop space of a space \(X\) isomorphic to that of \(X\) itself? Reading list for Equivariant Cohomology MSC: 37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010) 53D20 Momentum maps; symplectic reduction 55N91 Equivariant homology and cohomology in algebraic topology 55N35 Other homology theories in algebraic topology 57S25 Groups acting on specific manifolds 58A12 de Rham theory in global analysis Keywords:piecewise polynomial measure; integration formula; equivariant Euler class; symplectic torus action; momentum map; Killing vector field Citations:Zbl 0499.53056; Zbl 0503.58015; Zbl 0145.43801 PDFBibTeX XMLCite \textit{M. F. Atiyah} and \textit{R. Bott}, Topology 23, 1--28 (1984; Zbl 0521.58025) Full Text: DOI