Torsion and Abelianization in Equivariant Cohomology

被引：0

作者：

Tara S. Holm

Reyer Sjamaar

机构：

[1] Cornell University,Department of Mathematics

来源：

Transformation Groups | 2008年 / 13卷

关键词：

Weyl Group; Maximal Torus; Zero Divisor; Equivariant Cohomology; Schubert Polynomial;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let X be a topological space upon which a compact connected Lie group G acts. It is well known that the equivariant cohomology H*G (X; Q) is isomorphic to the subalgebra of Weyl group invariants of the equivariant cohomology H*T (X; Q), where T is a maximal torus of G. This relationship breaks down for coefficient rings k other than Q. Instead, we prove that under a mild condition on k the algebra H*G (X; k) is isomorphic to the subalgebra of H*T (X; k) annihilated by the divided difference operators.

引用

页码：585 / 615

页数：30

共 18 条

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