ANYONS AND QUANTUM HALL-EFFECT ON THE SPHERE

We analyze anyons and the fractional quantum Hall effect on the sphere by using the stereographic projective coordinate. We construct the ha miltonian, the angular momentum and obtain the ground states of anyons in some cases. The anyon gauge, the spin of the anyon and the spin-st atistics relation are then discussed. We also construct the hierarchic al wave function of spin-polarized fractional quantum Hall effect on t he sphere and describe some relevant problems in the spin-singlet frac tional quantum Hall effect.