Formality in an Equivariant Setting
نویسنده
چکیده
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•(BG). These results may be applied in computing the equivariant cohomology of their loop spaces.
منابع مشابه
dG, δ-LEMMA FOR EQUIVARIANT DIFFERENTIAL FORMS WITH GENERALIZED COEFFICIENT
Consider a Hamiltonian action of a compact Lie Group on a symplectic manifold which has the strong Lefschetz property. We establish an equivariant version of the Merkulov-Guillemin dδ-lemma for equivariant differential forms with smooth or distributional coefficient. As a corollary we also obtain a version of equivariant formality theorem in this case.
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