On The Symmetries Of Topological Quantum Field Theories

We 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.