Cellular homology of real maximal isotropic Grassmannians

DOI10.1515/advgeom-2016-0014zbMath1414.57018OpenAlexW2473514931MaRDI QIDQ1707361

Lonardo Rabelo

Publication date: 29 March 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2016-0014

zbMATH Keywords

orientabilityisotropic Grassmanniansstrict partitionsreal flag manifoldscellular homology

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Lagrangian submanifolds; Maslov index (53D12) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

Related Items (4)

Covering relations of k-Grassmannian permutations of type B ⋮ A correspondence between boundary coefficients of real flag manifolds and height of roots ⋮ Cellular homology of real flag manifolds ⋮ Integral homology of real isotropic and odd orthogonal Grassmannians

Cites Work

• Orientability of vector bundles over real flag manifolds
• On the topology of minimal orbits in complex flag manifolds
• The fundamental group of a real flag manifold
• Schubert cells and representation theory
• Integral homology of real flag manifolds and loop spaces of symmetric spaces
• Cellular homology of real flag manifolds
• Topology of the isospectral real manifolds associated with the generalized Toda lattices on semisimple Lie algebras
• Excited Young diagrams and equivariant Schubert calculus
• A note on the Bruhat decomposition of semisimple Lie groups
• Lectures on the Geometry of Flag Varieties
• Lie groups beyond an introduction
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