Semicharacteristics of oriented Grassmannians

DOI10.1016/0022-4049(84)90029-XzbMath0573.57007MaRDI QIDQ1063292

Robert E. Stong

Publication date: 1984

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

zbMATH Keywords

projective space bundleclosed manifoldoriented Grassmannianssemicharacteristic

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Embeddings in differential topology (57R40) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Equivariant cobordism (57R85)

Related Items (6)

A note on the \(\mathbb Z_2\)-cohomology algebra of oriented Grassmann manifolds ⋮ The rational zero-divisor cup-length of oriented partial flag manifolds ⋮ Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds ⋮ A note on the characteristic rank of oriented Grassmann manifolds ⋮ A note on the cohomology ring of the oriented Grassmann manifolds $\widetilde{G}_{n,4}$ ⋮ Parallelizability of homogeneous spaces. II

Cites Work

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• On stable parallelizability of \(G_{k,n}\) and related manifolds
• Cup products in Grassmannians
• Semi-characteristics and cobordism
• A Formula for the Tangent Bundle of Flag Manifolds and Related Manifolds

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