We study the equivariant -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
Duke Math. J.
148(3):
501-538
(15 June 2009).
DOI: 10.1215/00127094-2009-032
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