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Poincare duality and commutative differential graded algebras

Pascal Lambrechts·Don Stanley
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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.

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Pascal Lambrechts, Don Stanley. 2008-02-03. Poincare duality and commutative differential graded algebras. https://arxiv.org/abs/math/0701309

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