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Pré-Publication, Document De Travail Année : 2021

Lie algebroids are curved Lie algebras

Résumé

We show that there is an equivalence of $\infty$-categories between Lie algebroids and certain kinds of curved Lie algebras. For this we develop a method to study the $\infty$-category of curved Lie algebras using the homotopy theory of algebras over a complete operad.

Dates et versions

hal-03229236 , version 1 (18-05-2021)

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Damien Calaque, Ricardo Campos, Joost Nuiten. Lie algebroids are curved Lie algebras. 2021. ⟨hal-03229236⟩
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