Volume 19, issue 1 (2019)

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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
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