Derived Intersections and Free dg-Lie Algebroids

  • Julien Grivaux

    Sorbonne Université, Paris, France
Derived Intersections and Free dg-Lie Algebroids cover

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Abstract

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. 1049–1087

DOI 10.4171/PRIMS/57-3-11