An intrinsic Arf invariant on a link and its surface-link analogue

We define a modulo one rational number invariant of order up to 2 as the Arf invariant of the Z2-hyperbolic quadratic function of every infinite cyclic covering of every (possibly non-orientable) compact 3-manifold, and analogously a modulo one rational number invariant of order up to 4 as an invariant of the Q/Z-quadratic function of every infinite cyclic covering of every compact oriented 4-manifold. Typically the invariants become an invariant of an arbitrary oriented link in S3 and an invariant of an arbitrary oriented surface-link in S4.