TOPOLOGICAL G G WZW MODEL IN THE GENERALIZED MOMENTUM REPRESENTATION/

We consider the topological gauged WZW model in the generalized moment um representation. The chiral held g is interpreted as a counterpart o f the electric field E of conventional gauge theories. The gauge depen dence of wave functionals Psi(g) is governed by a new gauge cocycle ph i GWZW. We evaluate this cocycle explicitly using the machinery of Poi sson sigma models. In this approach the GWZW model is reformulated as a Schwarz-type topological theory so that the action does not depend o n the world-sheet metric. The equivalence of this new formulation to t he original one is proved for genus one and conjectured for an arbitra ry genus Riemann surface. As a by-product we discover a new way to exp lain the appearance of quantum groups in the WZW model.