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Transactions of the American Mathematical Society
Journal Article

The Equivariant Conner-Floyd Isomorphism

Steven R. Costenoble
Transactions of the American Mathematical Society
Vol. 304, No. 2 (Dec., 1987), pp. 801-818
Published by: American Mathematical Society
DOI: 10.2307/2000742
https://www.jstor.org/stable/2000742
Page Count: 18

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Topics: Mathematical theorems, Coffee mugs, Tangents, Integers, Lie groups, Periodicity, Isotropy, Topology, Equivalence relation
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The Equivariant Conner-Floyd Isomorphism
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Abstract

This paper proves two equivariant generalizations of the Conner-Floyd isomorphism relating unitary cobordism and $K$-theory. It extends a previous result of Okonek for abelian groups to all compact Lie groups. We also show that the result for finite groups is true using either the geometric or homotopical versions of cobordism.
Transactions of the American Mathematical Society © 1987 American Mathematical Society