Lie algebroids are curved Lie algebras

Key Points

• The aim is to establish an equivalence of infinity-categories between Lie algebroids and certain curved Lie algebras.
• Developed a framework for studying the infinity-category of curved Lie algebras.
• Utilized homotopy theory focused on algebras governed by a complete operad.
• Illustrated a clear equivalence of infinity-categories for Lie algebroids and curved Lie algebras.