Orientability of vector bundles over real flag manifolds

DOI10.1016/J.TOPOL.2012.03.002zbMath1267.57030arXiv1012.0182OpenAlexW2157133478MaRDI QIDQ428823

Laércio J. dos Santos, Luiz A. B. San Martin, Lucas Seco, Mauro Patrão

Publication date: 25 June 2012

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

Full work available at URL: https://arxiv.org/abs/1012.0182

zbMATH Keywords

vector bundlesflag manifoldsorientability

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Topology of vector bundles and fiber bundles (57R22)

Related Items (6)

Invariant Einstein metrics on real flag manifolds with two or three isotropy summands ⋮ Non naturally reductive Einstein metrics on the orthogonal group via real flag manifolds ⋮ Cellular homology of real maximal isotropic Grassmannians ⋮ A correspondence between boundary coefficients of real flag manifolds and height of roots ⋮ Invariant almost complex structures on real flag manifolds ⋮ Integral homology of real isotropic and odd orthogonal Grassmannians

Cites Work

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• 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
• Jordan decomposition and dynamics on flag manifolds
• Toda lattice, cohomology of compact Lie groups and finite Chevalley groups
• SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
• Conley indexes and stable sets for flows on flag bundles

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