2002/01/31 by Steven Lillywhite · 1 citation
Mathematics · #math.AT
published as Transactions of the A.M.S. 355(2003) no. 7, 2771-2793 · Several changes: some proofs improved, minor errors removed, typos fixed. Changes substantive enough to warrant a look at new version, for those interested
arxiv created 2003/04/29 · arxiv updated 2009/11/30
We define and discuss G-formality for certain spaces endowed with an action by a compact Lie group. This concept is essentially formality of the Borel construction of the space in a category of commutative differential graded algebras over R, where R is the cohomology of the classifying space BG. These results may be applied in computing the equivariant cohomology of their loop spaces.