{ "id": "math/9912088", "version": "v3", "published": "1999-12-10T23:59:03.000Z", "updated": "2003-02-16T03:07:26.000Z", "title": "Equivariant K-theory and Equivariant Cohomology", "authors": [ "Ioanid Rosu", "Allen Knutson" ], "comment": "20 pages. Appendix co-authored with Allen Knutson", "journal": "Mathematische Zeitschrift 243 (2003), 423-448", "categories": [ "math.AT", "math.AG", "math.KT" ], "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.", "revisions": [ { "version": "v3", "updated": "2003-02-16T03:07:26.000Z" } ], "analyses": { "subjects": [ "55N91" ], "keywords": [ "equivariant cohomology", "abelian compact lie group", "complex coefficients", "t-equivariant k-theory", "description" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math.....12088R" } } }