Formality in an Equivariant Setting

Steven Lillywhite

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Formality in an Equivariant Setting

Steven Lillywhite

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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.

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Steven Lillywhite. 2003-04-29. Formality in an Equivariant Setting. https://arxiv.org/abs/math/0201229

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