Algebraic & Geometric Topology

Pretty rational models for Poincaré duality pairs

Hector Cordova Bulens, Pascal Lambrechts, and Don Stanley

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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

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

Received: 31 May 2015
Revised: 31 October 2017
Accepted: 13 November 2017
First available in Project Euclid: 12 February 2019

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Poincaré duality Sullivan model commutative differential graded algebra


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.

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