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Formality in an equivariant setting |
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| Authors: | Steven Lillywhite |
| Affiliation: | Department of Mathematics, University of Toronto, 100 St. George St., Toronto, Ontario, Canada M5S 3G3 |
| Abstract: | We define and discuss  -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  . These results may be applied in computing the equivariant cohomology of their loop spaces. |
| Keywords: | Rational homotopy theory equivariant cohomology bar complexes loop spaces homotopical algebra |
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