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arXiv · 2306.12364

Formality is preserved under domination

Aleksandar Milivojevic·Jonas Stelzig·Leopold Zoller
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Abstract

If a closed orientable manifold (resp. rational Poincar\'e duality space) $X$ receives a map $Y \to X$ from a formal manifold (resp. space) $Y$ that hits a fundamental class, then $X$ is formal. The main technical ingredient in the proof states that given a map of $A_\infty$-algebras $A\to B$ admitting a homotopy $A$-bimodule retract, formality of $B$ implies that of $A$.

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Aleksandar Milivojevic, Jonas Stelzig, Leopold Zoller. 2023-06-21. Formality is preserved under domination. https://arxiv.org/abs/2306.12364

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