ALGEBRAIC RENORMALIZATION OF THE TOPOLOGICAL YANG-MILLS FIELD-THEORY

We obtain the most general local counterterm of Witten's topological Y ang-Mills field theory in a Landau type gauge. Our results, being base d on the algebraic BRS-renormalization technique, are regularization i ndependent and extend to all orders of perturbation theory. As a direc t consequence of the present derivation, it is shown that the cohomolo gical nature of the model is totally insensitive to quantum effects. I t is also proven that the Slavnov identity is anomaly free, in accord with a previous observation of Baulieu and Singer.