Derived Intersections and Free dg-Lie Algebroids
Julien GrivauxSorbonne Université, Paris, France
We study free dg-Lie algebroids over arbitrary derived schemes, and compute their universal enveloping and jet algebras. We also introduce derived twisted connections, and relate them to lifts on twisted square zero extensions. This construction allows us to provide new conceptual approaches to existing results concerning the derived deformation theory of subschemes.
Cite this article
Julien Grivaux, Derived Intersections and Free dg-Lie Algebroids. Publ. Res. Inst. Math. Sci. 57 (2021), no. 3/4, pp. 1049–1087DOI 10.4171/PRIMS/57-3-11