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

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

2006-01-23

arxiv.org/abs/math/0601563v2

Mathematics

Algebraic Geometry

28 pages

Scientific paper

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.

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