Abstract
In a recent paper the quantum two-sphere S q 2 was described as a quantum complex manifold. Here we consider several copies of S q 2 and derive their braiding commutation relations. The braiding is extended to the differential and to the integral calculus on the spheres. A quantum analog of the classical anharmonic ratio of four points on the sphere is given, which is invariant under the co-action of SU q (2).