Pretty rational models for Poincaré duality pairs

Cordova Bulens, Hector; Lambrechts, Pascal; Stanley, Don

doi:10.2140/agt.2019.19.1

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Pretty rational models for Poincaré duality pairs

Hector Cordova Bulens, Pascal Lambrechts and Don Stanley

Algebraic & Geometric Topology 19 (2019) 1–30

DOI: 10.2140/agt.2019.19.1

Abstract

We prove that a large class of Poincaré duality pairs of spaces admit rational models (in the sense of Sullivan) of a convenient form associated to some Poincaré duality CDGA.

Keywords

Poincaré duality, Sullivan model, commutative differential graded algebra

Mathematical Subject Classification 2010

Primary: 55P62

Secondary: 55M05

References

Publication

Received: 31 May 2015

Revised: 31 October 2017

Accepted: 13 November 2017

Published: 6 February 2019

Authors

Hector Cordova Bulens
IRMP Université Catholique de Louvain Louvain-la-Neuve Belgium

Pascal Lambrechts
IRMP Université Catholique de Louvain Louvain-la-Neuve Belgium

Don Stanley
Department of Mathematics and Statistics University of Regina Regina, SK Canada

Volume 19, issue 1 (2019)