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arXiv · 2610.21953

Postnikov invariants for rational spaces

Clovis Chabertier
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Abstract

In this paper we construct a theory of Postnikov invariants for (complete) homotopy Lie algebras that is preserved by the integration functor of Robert-Nicoud and Vallette. This result is in the same vein as Berglund's theorem, which relates the homology groups underlying a nilpotent homotopy Lie algebra to the homotopy groups of the associated space. We then deduce an integration functor from filtered Chevalley-Eilenberg cohomology groups to group cohomology groups.

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Clovis Chabertier. 2026-10-29. Postnikov invariants for rational spaces. https://arxiv.org/abs/2610.21953

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