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PreprintCC BY-NC-ND 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{chabertier2026postnikov,
  title = {{Postnikov invariants for rational spaces}},
  author = {Clovis Chabertier},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21953},
  eprint = {2610.21953},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21953},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Postnikov invariants for rational spaces
AU  - Clovis Chabertier
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.21953
UR  - https://arxiv.org/abs/2610.21953
AB  - 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.
ER  -