An elliptic complex associated to the Yang-Mills constraint equations

This paper presents an elliptic complex of linear spaces and operators which resolves the linearized constraint equations for the initial data for a Yang-Mills (gauge) field. The complex exists when the background gauge field satisfies a certain condition corresponding to self-duality in the Riemannian case and is defined on a spacetime which has a spacelike Cauchy surface.Partially Supported by NSF Grant MCS 78-01460