Geodesic
Cohomology rings, linking forms and invariants of spin structures in three-dimensional manifolds
Sbornik. Mathematics, Tome 48 (1984) no. 1, pp. 65-79

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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. 
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     title = {Cohomology rings, linking forms and invariants of spin structures in three-dimensional manifolds},
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V. G. Turaev. Cohomology rings, linking forms and invariants of spin structures in three-dimensional manifolds. Sbornik. Mathematics, Tome 48 (1984) no. 1, pp. 65-79. http://geodesic.mathdoc.fr/item/SM_1984_48_1_a3/