On the Cohomology of Real Grassmanians

DOI10.2307/1998310zbMath0462.57021OpenAlexW4248346960MaRDI QIDQ3913477

Howard L. Hiller

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998310

zbMATH Keywords

Schubert calculuscohomology of flag manifoldscohomology of real Grassmanniansheight of the first Stiefel Whitney class of real Grassmanianslower bounds on the Lusternik-Schnirelmann category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Characteristic classes and numbers in differential topology (57R20) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items

On the Height of the First Stiefel-Whitney Class, On a Borsuk-Ulam theorem for Stiefel manifolds, Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments, Gröbner bases for (partial) flag manifolds, Immersion dimension for real Grassmannians, Higher topological complexities of real Grassmannians and semi-complete real flag manifolds, Cup-length of oriented Grassmann manifolds via Gröbner bases, Optimal bounds for a colorful Tverberg-Vrećica type problem, Topological transversals to a family of convex sets, Cup products in Grassmannians, Maps of Stiefel manifolds and a Borsuk–Ulam theorem, The height of a class in the cohomology ring of polygon spaces, Cobordism independence of Grassmann manifolds, On real flag manifolds with cup-length equal to its dimension, A center transversal theorem for an improved Rado depth, Topological complexity and motion planning in certain real Grassmannians., Unnamed Item, Projective center point and Tverberg theorems, Bigraded equivariant cohomology of real quadrics

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