Transactions of the American Mathematical Society

Author(s): Steven Lillywhite
Journal: Trans. Amer. Math. Soc. 355 (2003), 2771-2793.
MSC (2000): Primary 55P62; Secondary 55N91, 18G55, 57T30
Posted: February 25, 2003
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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 $R=H^\bullet(BG)$ . These results may be applied in computing the equivariant cohomology of their loop spaces.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 55P62, 55N91, 18G55, 57T30

Steven Lillywhite
Affiliation: Department of Mathematics, University of Toronto, 100 St. George St., Toronto, Ontario, Canada M5S 3G3
Email: sml@math.toronto.edu

DOI: 10.1090/S0002-9947-03-03265-3
PII: S 0002-9947(03)03265-3
Keywords: Rational homotopy theory, equivariant cohomology, bar complexes, loop spaces, homotopical algebra
Received by editor(s): January 1, 2002
Posted: February 25, 2003
Copyright of article: Copyright 2003, American Mathematical Society

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