Equivariant de Rham cohomology of homogeneous spaces

DOI10.1016/0022-4049(95)00018-6zbMath0849.43006OpenAlexW2019447847MaRDI QIDQ1910757

Hiroo Shiga

Publication date: 19 May 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00018-6

zbMATH Keywords

Lie groupDe Rham cohomologycompact homogeneous spaceBorel fibration

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) de Rham theory in global analysis (58A12) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items

Equivariant formality of isotropic torus actions, Equivariant formality of corank-one isotropy actions and products of rational spheres, Equivariant formality of isotropy actions on homogeneous spaces defined by Lie group automorphisms, Equivariant de Rham cohomology: theory and applications, Grassmannians and the equivariant cohomology of isotropy actions

Cites Work

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• The moment map and equivariant cohomology
• Superconnections, Thom classes, and equivariant differential forms
• Infinitesimal computations in topology