Poincare duality and commutative differential graded algebras
Algebraic Topology
2008-02-03 v3
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.
Cite
@article{arxiv.math/0701309,
title = {Poincare duality and commutative differential graded algebras},
author = {Pascal Lambrechts and Don Stanley},
journal= {arXiv preprint arXiv:math/0701309},
year = {2008}
}
Comments
14 pages. Final version to be published in Annales Scientifiques ENS