Poincare duality and commutative differential graded algebras

dc.creatorLambrechts, Pascal
dc.creatorStanley, Don
dc.date2007-01-10
dc.date2008-02-03
dc.date.accessioned2026-07-07T09:17:09Z
dc.date.available2026-07-07T09:17:09Z
dc.descriptionWe 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.
dc.description14 pages. Final version to be published in Annales Scientifiques ENS
dc.identifierhttps://arxiv.org/abs/math/0701309
dc.identifierhttp://arxiv.org/abs/math/0701309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153566
dc.subjectAlgebraic Topology
dc.subject55P62; 55M05; 57P10
dc.titlePoincare duality and commutative differential graded algebras
dc.typetext

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