Lie algebroids are curved Lie algebras
Algebraic Topology
2021-09-06 v2 Differential Geometry
Quantum Algebra
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.
Cite
@article{arxiv.2103.10728,
title = {Lie algebroids are curved Lie algebras},
author = {Damien Calaque and Ricardo Campos and Joost Nuiten},
journal= {arXiv preprint arXiv:2103.10728},
year = {2021}
}
Comments
Added a new section with examples and applications. Corrected minor mistakes throughout. Comments are still welcome