Poincare duality and commutative differential graded algebras

Abstract

We prove that every commutative differential graded algebra whose cohomology is a simply-connected Poincare duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected and satisfies Poincare duality in the same dimension. This has application in particular to the study of CDGA models of configuration spaces on a closed manifold.Comment: 14 pages. Final version to be published in Annales Scientifiques EN