Equivariant K-theory and Equivariant Cohomology

Details Equivariant K-theory and Equivariant Cohomology Equivariant K-theory and Equivariant Cohomology

1999-12-10

arxiv.org/abs/math/9912088v3

Mathematische Zeitschrift 243 (2003), 423-448

Mathematics

Algebraic Topology

20 pages. Appendix co-authored with Allen Knutson

Scientific paper

For T an abelian compact Lie group, we give a description of T-equivariant
K-theory with complex coefficients in terms of equivariant cohomology. In the
appendix we give applications of this by extending results of Chang-Skjelbred
and Goresky-Kottwitz-MacPherson from equivariant cohomology to equivariant
K-theory.

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