Formality in an Equivariant Setting
Algebraic Topology
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/0201229,
title = {Formality in an Equivariant Setting},
author = {Steven Lillywhite},
journal= {arXiv preprint arXiv:math/0201229},
year = {2007}
}
Comments
Several changes: some proofs improved, minor errors removed, typos fixed. Changes substantive enough to warrant a look at new version, for those interested