  We compute the large N limit of the partition function of the Euclidean
Yang--Mills measure with structure group SU(N) or U(N) on all closed compact
surfaces, orientable or not, excepted for the sphere and the projective plane.
This limit is finite as opposed to the case of the sphere and presumably the
projective plane. We expect that the results we present might give an insight
towards the master field on these surfaces.
