Lie algebroids are curved Lie algebras

2021/03/19 by Damien Calaque, Calaque, Damien, Ricardo Campos +3 · 2 citations
#14D15 #17B55 #18M70 #53D17 #55P10 #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2103.10728

Abstract

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

Cited by

• Operadic twisting as an adjunction
• Integration theory of Lie-graph algebras

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