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ISSN 1088-6850(e) ISSN 0002-9947(p)

Presenting the cohomology of a Schubert variety

Author(s): Victor Reiner; Alexander Woo; Alexander Yong
Journal: Trans. Amer. Math. Soc. 363 (2011), 521-543.
MSC (2000): Primary 14M15, 14N15
Posted: August 13, 2010
MathSciNet review: 2719692
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Abstract | References | Similar articles | Additional information

Abstract: We extend the short presentation due to [Borel '53] of the cohomology ring of a generalized flag manifold to a relatively short presentation of the cohomology of any of its Schubert varieties. Our result is stated in a root-system uniform manner by introducing the essential set of a Coxeter group element, generalizing and giving a new characterization of [Fulton '92]'s definition for permutations. Further refinements are obtained in type .

References:

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