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arXiv · 2609.14221

Uniqueness of differential Poincaré duality models

Pavel Hájek
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Abstract

We prove the remaining even-dimensional case of the Lambrechts--Stanley "uniqueness" conjecture for 1-connected differential Poincaré duality models. Together with our previous odd-dimensional result, this shows that any two such algebras weakly homotopy equivalent as PDGAs admit direct PDGA quasi-isomorphisms into a common connected differential Poincaré duality algebra. We use our previous method of obtaining differential Poincaré duality models as nondegenerate quotients of Hodge extensions, the new ingredient being a Hodge extension in the middle degree.

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Pavel Hájek. 2026-09-13. Uniqueness of differential Poincaré duality models. https://arxiv.org/abs/2609.14221

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