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.
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页码：455 / 475
页数：20
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