2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38685We elucidate the connection between $SO(3) \times Z(2)$ and the usual SU(2) configuration variables. By exploiting the freedom of choosing a particular SO(3) representative we find a direct connection between the two configuration spaces. We are then able to compare the Kovacs-Tomboulis formulation of center vortices with the projection vortex formulation on the same configuration. Choosing a different representative, and going to the maximal center gauge, we show that projection vortices occur without approximation. The projection vortex dominance approximation results from dropping a factor in an exact expression for the Wilson loop.8 pages, 2 eps figures. Contributed to NATO Advanced Research Workshop on Confinement, Topology, and other Nonperturbative Aspects of QCD, Stara Lesna, Slovakia, 21-27 Jan 2002High Energy Physics - Latticetext