Poincare duality and commutative differential graded algebras

Details Poincare duality and commutative differential graded algebras Poincare duality and commutative differential graded algebras

2007-01-10

arxiv.org/abs/math/0701309v3

Mathematics

Algebraic Topology

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

Scientific paper

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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