YANG-MILLS GAUGE ANOMALIES IN THE PRESENCE OF GRAVITY WITH TORSION

We give the tangent space formulation for the BRST transformations of the Yang-Mills gauge field in the presence of gravity with torsion. Us ing Sorella's operator delta, we solve the BRST consistency condition corresponding to invariant Chern-Simons terms and gauge anomalies. Con trary to the case of pure Yang-Mills gauge theory, we have a closed al gebra between the operator delta, the exterior spacetime derivative an d the BRST operator. Due to this fact, we can present an integrated pa rameter formula for the solution of the local BRST cohomology correspo nding to the gauge anomalies.