Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Grassmannian
Abstract
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- December 2005
- DOI:
- arXiv:
- arXiv:math/0512204
- Bibcode:
- 2005math.....12204K
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Combinatorics;
- 14M15;
- 05E10
- E-Print:
- 27 pages. Version 2 contains more discussion of nonintersecting path families and additional references