In this paper we construct the operator fields of the Riemann surfaces of arbitrary genus. The corresponding operator theory of interacting strings can be considered as the direct development of Virasoro-Mandelstam theory for g ≥ 0 and its unifacation with Polyakov-Belavin-Knizhnik theory.
- operator fields
- Riemann surfaces
- Virasoro-Gelfand-Fuks algebras