2024/04/16 by Beltita, Daniel, Pelletier, Fernand
#22E15 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 58H05 #Secondary 22A22
paper · doi:10.48550/arxiv.2404.10607
We introduce the notion of Q-principal bundle, which is the appropriate version of principal fibre bundles in the setting of R. Barre's Q-manifolds. As an application, we prove that every transitive Lie algebroid arises from the Atiyah sequence of a certain Q-principal bundle, and we give the interpretation of this result in terms of groupoids.