2023/09/02 by Du Li, Leonid Ryvkin, Li, Du +5
Mathematics · #(primary) 55U10 #18N65 (secondary) #58A50 #8H05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2309.00901
openalex publication_date 2023/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
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.