Poincare duality and commutative differential graded algebras

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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.
14 pages. Final version to be published in Annales Scientifiques ENS

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Algebraic Topology, 55P62; 55M05; 57P10

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http://salesiana.dossiersoluciones.com/handle/123456789/153566

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701309
 http://arxiv.org/abs/math/0701309

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arXiv