Document Zbl 0462.57021

On the cohomology of real Grassmannians. (English) Zbl 0462.57021

Trans. Am. Math. Soc. 257, 521-533 (1980).

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MSC:

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

Keywords:

cohomology of real Grassmannians; height of the first Stiefel Whitney class of real Grassmanians; Schubert calculus; cohomology of flag manifolds; lower bounds on the Lusternik-Schnirelmann category

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References:

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[14]	Richard P. Stanley, Some combinatorial aspects of the Schubert calculus, Combinatoire et représentation du groupe symétrique (Actes Table Ronde CNRS, Univ. Louis-Pasteur Strasbourg, Strasbourg, 1976) Springer, Berlin, 1977, pp. 217 – 251. Lecture Notes in Math., Vol. 579.
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