EQUIVARIANT K-THEORY OF AFFINE FLAG MANIFOLDS AND AFFINE GROTHENDIECK POLYNOMIALS

被引：18

作者：

Kashiwara, Masaki ^{[1
]}

Shimozono, Mark ^{[2
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

[2] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2009年 / 148卷 / 03期

基金：

美国国家科学基金会;

关键词：

SCHUBERT POLYNOMIALS; GRASSMANNIANS; COHOMOLOGY; FORMULA; RING;

D O I：

10.1215/00127094-2009-032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：501 / 538

页数：38

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