1999/04/13 by Jean-Claude Hausmann, Hausmann, Jean-Claude
Mathematics · #22A22 #22A25 #53C05 #55R10 #55R35 #55R91 #81T13 #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #math.AT #math.DG #msc:22A22 #msc:22A25 #msc:53C05 #msc:55R10 #msc:55R35 #msc:55R91 #msc:81T13
paper · pdf · doi:10.48550/arxiv.math/9904052
34 pages, LATEX, in french
arxiv created 1999/04/13 · arxiv updated 2009/11/30
We consider the problem of existence of representations of topological groupoids on a principal bundle and the classification of such representations up to gauge transformation. Such representations naturally occur in various contexts such as gauge theory, lattice gauge fields, equivariant bundles, etc. In the course of the proofs, some new facts about Milnor's classifying spaces and gauge groups are established.