2013/06/24 by Mohammad Jawad Azimi, Azimi, Mohammad Jawad
Mathematics · #22A22 #53C08 #55N30 #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.1306.5683
openalex publication_date 2013/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a precise and general description of gerbes valued in arbitrary crossed module and over an arbitrary differential stack. We do it using only Lie groupoids, hence ordinary differential geometry. We prove the coincidence with the existing notions by comparing our construction with non-Abelian cohomology.