Lie algebroids are curved Lie algebras
Abstract
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.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Selecta Mathematica
- Publisher
- Springer Science and Business Media LLC
- Volume
- 32
- Issue
- 3
- Publication date
- 29 June 2026
- Language
- EN