Algebraic & Geometric Topology

Pretty rational models for Poincaré duality pairs

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.

Article information

Source
Algebr. Geom. Topol., Volume 19, Number 1 (2019), 1-30.

Dates
Revised: 31 October 2017
Accepted: 13 November 2017
First available in Project Euclid: 12 February 2019

https://projecteuclid.org/euclid.agt/1549940428

Digital Object Identifier
doi:10.2140/agt.2019.19.1

Mathematical Reviews number (MathSciNet)
MR3910576

Zentralblatt MATH identifier
07053569

Subjects
Primary: 55P62: Rational homotopy theory
Secondary: 55M05: Duality

Citation

Cordova Bulens, Hector; Lambrechts, Pascal; Stanley, Don. Pretty rational models for Poincaré duality pairs. Algebr. Geom. Topol. 19 (2019), no. 1, 1--30. doi:10.2140/agt.2019.19.1. https://projecteuclid.org/euclid.agt/1549940428

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