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arXiv:math/0512204 [math.AG]AbstractReferencesReviewsResources

Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Grassmannian

V. Kreiman

Published 2005-12-12, updated 2006-06-11Version 2

We give positive formulas for the restriction of a Schubert Class to a T-fixed point in the equivariant K-theory and equivariant cohomology of the Grassmannian. Our formulas rely on a result of Kodiyalam-Raghavan and Kreiman-Lakshmibai, which gives an equivariant Grobner degeneration of a Schubert variety in the neighborhood of a T-fixed point of the Grassmannian.

Comments: 27 pages. Version 2 contains more discussion of nonintersecting path families and additional references
Categories: math.AG, math.CO
Subjects: 14M15, 05E10
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