The equivariant de Rham theorem on Fréchet \(S^ 1\)-manifolds

DOI10.1007/BF00773450zbMath0811.58010OpenAlexW2090788361MaRDI QIDQ1345025

Palanivel Manoharan

Publication date: 1 March 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00773450

zbMATH Keywords

equivariant cohomologyfree loop spacede Rham theoremspace of smooth mapsFréchet \(S^ 1\)-manifolds

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) de Rham theory in global analysis (58A12) de Rham cohomology and algebraic geometry (14F40) Manifolds of mappings (58D15)

Cites Work

• The moment map and equivariant cohomology
• THE DE RHAM COMPLEX ON INFINITE DIMENSIONAL MANIFOLDS
• Differential Topology
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