Théorie de jauge et groupo\"ıdes (Gauge theory and groupoids)
Abstract
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 1999
 arXiv:
 arXiv:math/9904052
 Bibcode:
 1999math......4052H
 Keywords:

 Differential Geometry;
 Algebraic Topology;
 22A22;
 53C05;
 55R10;
 55R91;
 22A25;
 81T13;
 55R35
 EPrint:
 34 pages, LATEX, in french