Covariant quantization of a relativistic string with nontrivial world sheet topology

The wave functions of a relativistic string with nontrivial world sheet topology are considered as generalized cocycles of Lie algebra transformations. The equations for the physical string states are presented, and their solutions are constructed with proper normalization.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Akademii Nauk SSSR, Vol. 180, pp. 142–160, 1990.