Equivariant cohomology of real flag manifolds

DOI10.1016/j.difgeo.2005.09.006zbMath1118.53033arXivmath/0404369OpenAlexW2007556972WikidataQ115357896 ScholiaQ115357896MaRDI QIDQ2490922

Augustin-Liviu Mare

Publication date: 18 May 2006

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404369

zbMATH Keywords

symmetric spacescohomologyequivariant cohomologyflag manifolds

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (3)

Admissibility and frame homotopy for quaternionic frames ⋮ Equivariant cohomology of quaternionic flag manifolds ⋮ De Rham 2-cohomology of real flag manifolds

Cites Work

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• The mod 2 cohomology of fixed point sets of anti-symplectic involutions
• Schubert calculus of a Coxeter group
• Critical point theory and submanifold geometry
• The topology of isoparametric submanifolds
• Integral homology of real flag manifolds and loop spaces of symmetric spaces
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Applications of the Theory of Morse to Symmetric Spaces
• Convexity and Tightness for Restrictions of Hamiltonian Functions to Fixed Point Sets of an Antisymplectic Involution
• Real loci of symplectic reductions

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