Differentiating L∞ groupoids
Abstract
Differentiating an Lie $n$-groupoid via the differential-geometric fat point a priori only yielads a presheaf of graded manifolds. In this article we prove that this presheaf is representable by the tangent complex of the Lie $n$-groupoid. As an immediate consequence we obtain that the tangent complex carries the structure of a Lie $n$-algebroid.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Journal de Mathématiques Pures et Appliquées
- Publisher
- Elsevier BV
- Volume
- 211
- Pages
- 103880–103880
- Publication date
- 4 March 2026
- Language
- FR