Cohomology rings, linking forms and invariants of spin structures in three-dimensional manifolds

Necessary and sufficient conditions on a triple consisting of a sequence of graded rings, a bilinear form, and a function with values in $\mathbf Z/16$ are given which ensure that the triple consists of the cohomology rings, the linking form, and the Rokhlin function of some closed oriented three-dimensional manifold.
Figures: 2.
Bibliography: 24 titles.