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arxiv: math/0701309 · v3 · submitted 2007-01-10 · 🧮 math.AT

Poincare duality and commutative differential graded algebras

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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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