2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149200We display properties of the general formalism which associates to any given gauge symmetry a topological action and a system of topological BRST and anti-BRST equations. We emphasize the distinction between the antighosts of the geometrical BRST equations and the antighosts occuring in field theory. We propose a transmutation mechanism between these objects. We illustrate our general presentation by examples.23 pages, Latex, no figures, corrected due to the fact that some line lengths were exceeding 80 charactersHigh Energy Physics - TheoryOn The Symmetries Of Topological Quantum Field Theoriestext