Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Grassmannian
Abstract
Description
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.
27 pages. Version 2 contains more discussion of nonintersecting path families and additional references
27 pages. Version 2 contains more discussion of nonintersecting path families and additional references