 On a topological 3-manifold "N", the generalized Rokhlin invariant refers to the function whose domain is the spin structures on "N", and which evaluates to the Rokhlin invariant of the pair formula_22 where "s" is a spin structure on "N".The Rokhlin invariant of M is equal to half the Casson invariant mod 2.The Casson invariant is viewed as the Z-valued lift of the Rokhlin invariant of integral homology 3-sphere.