Lie algebroids are curved Lie algebras
Abstract We show that there is an equivalence of $$\infty $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>∞</mml:mi> </mml:math> -categories between Lie algebroids and certain kinds of curved Lie algebras. For this we develop a method to study the $$\infty $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>∞</mml:mi> </mml:math> -category of curved Lie algebras using the homotopy theory of algebras over a complete operad.
Authors
- Joost Nuiten (ORCID: https://orcid.org/0000-0002-7091-7354)
- Damien Calaque (ORCID: https://orcid.org/0000-0003-4463-1536)
- Ricardo Campos (ORCID: https://orcid.org/0000-0002-2706-7622)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Fédérale de Toulouse Midi-Pyrénées (FR)
- Institut National des Sciences Appliquées de Toulouse (FR)
- Université de Montpellier (FR)
- Toulouse Mathematics Institute (FR)
Publication Details
- Journal
- Selecta Mathematica
- Published
- 2026-06-29
- DOI
- https://doi.org/10.1007/s00029-026-01158-6
- Citations
- 2
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00
Funders
- European Commission
- Agence Nationale de la Recherche
- Université de Toulouse