Natural SciencesOphthalmologyCosmologyDescriptive GeometryGeometryAlgebraic GeometryCohomology TheoryComplex GeometryFiber BundlesHomological AlgebraProjective GeometryComplex Projective Geometry
Abstract The cohomology algebra mod p of the complex projective Stiefel manifolds is determined for all primes p . When p = 2 we also determine the action of the Steenrod algebra and apply this to the problem of existence of trivial subbundles of multiples of the canonical line bundle over a lens space with 2-torsion, obtaining optimal results in many cases.
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The cohomology of quotients of classical groups
Paul Baum, William Browder · Topology · 1965 · 126 citations
The projective stiefel manifolds—I
S. Gitler, David Handel · Topology · 1968 · 40 citations