Poincare duality and commutative differential graded algebras
classification
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keywords
algebradualitypoincarecommutativedifferentialgradedsimply-connectedwhose
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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.
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