Equivariant formality of isotropy actions on homogeneous spaces defined by Lie group automorphisms

DOI10.1016/j.jpaa.2015.10.013zbMath1335.53065arXiv1405.2655OpenAlexW2962949102WikidataQ115345424 ScholiaQ115345424MaRDI QIDQ899574

Oliver Goertsches, Sam Hagh Shenas Noshari

Publication date: 30 December 2015

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

Full work available at URL: https://arxiv.org/abs/1405.2655

zbMATH Keywords

homogeneous spaceequivariant formalityisotropy actionCartan pairLie group automorphism

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Compact Lie groups of differentiable transformations (57S15) Equivariant homology and cohomology in algebraic topology (55N91)

Related Items

Equivariant formality of isotropic torus actions, Bounds on sectional curvature and interactions with topology, Cohomology rings of the real and oriented partial flag manifolds, Equivariant formality of corank-one isotropy actions and products of rational spheres, 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

Cites Work

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• The equivariant cohomology of isotropy actions on symmetric spaces
• On formality of a class of compact homogeneous spaces
• Equivariant de Rham cohomology of homogeneous spaces
• A GKM description of the equivariant cohomology ring of a homogeneous space
• Homogeneous spaces defined by Lie group automorphisms. I
• On formality of generalized symmetric spaces
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes
• Topology of Lie groups and characteristic classes