Formality in an equivariant setting

Lillywhite, Steven

doi:10.1090/S0002-9947-03-03265-3

Formality in an equivariant setting
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by Steven Lillywhite

Trans. Amer. Math. Soc. 355 (2003), 2771-2793

DOI: https://doi.org/10.1090/S0002-9947-03-03265-3

Published electronically: February 25, 2003

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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 $R=H^\bullet (BG)$. These results may be applied in computing the equivariant cohomology of their loop spaces.

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