Equivariant K-theory of affine flag manifolds and affine Grothendieck polynomials

Abstract

We study the equivariant K-group of the affine flag manifold with respect to the Borel group action. We prove that the structure sheaf of the (infinite-dimensional) Schubert variety in the K-group is represented by a unique polynomial, which we call the affine Grothendieck polynomial.

28 pages

References in corpus (1)

• Affine insertion and Pieri rules for the affine Grassmannian

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