ON THE GEOMETRY OF RELATIVISTIC ANYON

A twistor model is proposed for the free relativistic anyon. The Hamil tonian reduction of this model by the action of the spin generator lea ds to the minimal covariant model; whereas that by the action of spin and mass generators leads to the anyon model with free phase space whi ch is a cotangent bundle of the Lobachevsky plane with twisted symplec tic structure. Quantum mechanics of that model is described by irreduc ible representations of the (2+1)-dimensional Poincare group.