Formality in an Equivariant Setting

Details Formality in an Equivariant Setting Formality in an Equivariant Setting

2002-01-23

arxiv.org/abs/math/0201229v2

Transactions of the A.M.S. 355(2003) no. 7, 2771-2793

Mathematics

Algebraic Topology

Several changes: some proofs improved, minor errors removed, typos fixed. Changes substantive enough to warrant a look at new

Scientific paper

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.

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