English

Equivariant K-theory and Equivariant Cohomology

Algebraic Topology 2009-03-10 v3 Algebraic Geometry K-Theory and Homology

Abstract

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.

Keywords

Cite

@article{arxiv.math/9912088,
  title  = {Equivariant K-theory and Equivariant Cohomology},
  author = {Ioanid Rosu and Allen Knutson},
  journal= {arXiv preprint arXiv:math/9912088},
  year   = {2009}
}

Comments

20 pages. Appendix co-authored with Allen Knutson