The universality of equivariant complex bordism |
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| Authors: | Michael Cole J.P.C. Greenlees I. Kriz |
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| Affiliation: | (1) Department of Mathematics, Hofstra University, Hempstead, NY 11549, USA (e-mail: matmzc@hofstra.edu) , US;(2) School of Mathematics and Statistics, Hicks Building, Sheffield S3 7RH, UK (e-mail: j.greenlees@sheffield.ac.uk) , GB;(3) Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA (e-mail: ikriz@math.lsa.umich.edu) , US |
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| Abstract: | 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. Received: 14 February 2000; in final form: 4 August 2000 / Published online: 19 October 2001 |
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