Integral equivariant cohomology of affine Grassmannians

被引：0

作者：

Anderson, David ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2024年 / 67卷 / 03期

关键词：

Affine Grassmannian; equivariant cohomology; symmetric function;

D O I：

10.4153/S0008439524000122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give explicit presentations of the integral equivariant cohomology of the affine Grassmannians and flag varieties in type A, arising from their natural embeddings in the corresponding infinite (Sato) Grassmannian and flag variety. These presentations are compared with results obtained by Lam and Shimozono, for rational equivariant cohomology of the affine Grassmannian, and by Larson, for the integral cohomology of the moduli stack of vector bundles on .

引用

页码：727 / 741

页数：15

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