The universality of equivariant complex bordism

被引：0

作者：

Michael Cole

J.P.C. Greenlees

I. Kriz

机构：

[1] Department of Mathematics,

[2] Hofstra University,undefined

[3] Hempstead,undefined

[4] NY 11549,undefined

[5] USA (e-mail: matmzc@hofstra.edu) ,undefined

[6] School of Mathematics and Statistics,undefined

[7] Hicks Building,undefined

[8] Sheffield S3 7RH,undefined

[9] UK (e-mail: j.greenlees@sheffield.ac.uk) ,undefined

[10] Department of Mathematics,undefined

[11] University of Michigan,undefined

[12] Ann Arbor,undefined

[13] MI 48109,undefined

[14] USA (e-mail: ikriz@math.lsa.umich.edu) ,undefined

来源：

Mathematische Zeitschrift | 2002年 / 239卷

关键词：

Vector Bundle; Complex Vector; Equivariant Cohomology; Cohomology Theory; Complex Vector Bundle;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that if A is an abelian compact Lie group, all A-equivariant complex vector bundles are orientable over a complex orientable equivariant cohomology theory. In the process, we calculate the complex orientable homology and cohomology of all complex Grassmannians.

引用

页码：455 / 475

页数：20

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