The equivariant cohomology of isotropy actions on symmetric spaces

zbMath1247.53063arXiv1009.4079MaRDI QIDQ418683

Oliver Goertsches

Publication date: 29 May 2012

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4079

zbMATH Keywords

symmetric spaceequivariant cohomologyisotropa action

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Equivariant homology and cohomology in algebraic topology (55N91) Differential geometry of symmetric spaces (53C35) Homology with local coefficients, equivariant cohomology (55N25)

Related Items

Equivariant formality of isotropic torus actions ⋮ Bounds on sectional curvature and interactions with topology ⋮ Localization of Chern-Simons type invariants of Riemannian foliations ⋮ Equivariant formality of isotropy actions on homogeneous spaces defined by Lie group automorphisms ⋮ \(\Gamma\)-structures and symmetric spaces ⋮ Equivariant de Rham cohomology: theory and applications ⋮ On the equivariant cohomology of hyperpolar actions on symmetric spaces ⋮ Grassmannians and the equivariant cohomology of isotropy actions