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：
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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.
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页码：585 / 615
页数：30
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