BRST symmetries for the tangent gauge group

For any principal bundle P, one can consider the subspace of the space of connections on its tangent bundle TP given by the tangent bundle Tscript A sign of the space of connections . script A sign on P. The tangent gauge group acts freely on Tscript A sign. Appropriate BRST operators are introduced for quantum field theories that include as fields elements of Tscript A sign, as well as tangent vectors to the space of curvatures. As the simplest application, the BRST symmetry of the so-called BF-Yang-Mills theory is described and the relevant gauge fixing conditions are analyzed. A brief account on the topological BF theories is also included and the relevant Batalin-Vilkovisky operator is described.