The Fixed Point Theorem in Equivariant Cohomology

DOI10.2307/2001521zbMath0723.55003OpenAlexW4243868312MaRDI QIDQ3210543

Scott Petrack, John D. S. Jones

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001521

zbMATH Keywords

fixed pointdifferential formsequivariant cohomologyloop spacecompleted periodic equivariant cohomologyS\({}^ 1\)-manifold

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Other homology theories in algebraic topology (55N35)

Related Items (11)

A rigorous construction of the supersymmetric path integral associated to a compact spin manifold ⋮ A strong excision theorem for generalised Tate cohomology ⋮ \(S^1\)-equivariant Chern-Weil constructions on loop space ⋮ Symplectic homology and the Eilenberg-Steenrod axioms ⋮ Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality ⋮ Eight flavors of cyclic homology ⋮ Fukaya \(A_\infty\)-structures associated to Lefschetz fibrations. III ⋮ Stochastic equivariant cohomologies and cyclic cohomology ⋮ A loop group extension of the odd Chern character ⋮ Loop differential \(K\)-theory ⋮ The equivariant pair-of-pants product in fixed point Floer cohomology

Cites Work

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• Differential forms on loop spaces and the cyclic bar complex
• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• The moment map and equivariant cohomology
• Cyclic homology, derivations, and the free loopspace
• Index theorem and equivariant cohomology on the loop space
• Superconnections, Thom classes, and equivariant differential forms
• Localization formulas, superconnections, and the index theorem for families
• Cyclic homology and equivariant homology
• Supersymmetry and Morse theory
• Characteristic Classes. (AM-76)

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