Covariant integral forms in three-dimensional supergravity

A general formalism for constructing integral invariants in superfield theories with $D=2$, $N=1$ supersymmetry is investigated. A nilpotent algebra of generalized differential forms is considered. Its use leads to a significant simplification in the formalism of supergravity and supergauge theories. Superfield generalizations of three-dimensional topological theories and the corresponding covariant methods of quantization are discussed.