2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135157We present a description of two dimensional Yang-Mills gauge theory on the plane and on compact surfaces, examining the topological, geometric and probabilistic aspects.16 pages, presented at a conference titled Stochastic Analysis and Mathematical Physics 2006, organized by Ana Bela Cruzeiro and Jean-Claude ZambriniHigh Energy Physics - TheoryMathematical Physicstext