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arxiv: math/9912088 · v3 · submitted 1999-12-10 · 🧮 math.AT · math.AG· math.KT

Equivariant K-theory and Equivariant Cohomology

Ioanid Rosu , Allen Knutson This is my paper
classification 🧮 math.AT math.AGmath.KT
keywords equivariantcohomologyk-theorygiveabelianappendixapplicationschang-skjelbred
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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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