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

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

2005-12-12

arxiv.org/abs/math/0512204v2

Mathematics

Algebraic Geometry

27 pages. Version 2 contains more discussion of nonintersecting path families and additional references

Scientific paper

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.

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