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arXiv · 2103.10728

Lie algebroids are curved Lie algebras

Damien Calaque·Ricardo Campos·Joost Nuiten
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Abstract

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.

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Damien Calaque, Ricardo Campos, Joost Nuiten. 2021-03-19. Lie algebroids are curved Lie algebras. https://arxiv.org/abs/2103.10728

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