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 applications in rational homotopy, giving Poincare duality at the cochain level, which is of interest in particular in the study of configuration spaces and in string topology.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Annales scientifiques de l'École normale supérieure
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.