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

摘要

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