We prove that a graph is intrinsically linked in an arbitrary 3–manifold MM if and only if it is intrinsically linked in S3. Also, assuming the Poincaré Conjecture, we prove that a graph is intrinsically knotted in M if and only if it is intrinsically knotted in S3.
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Flapan, E., H. Howards, D. Lawrence and B. Mellor, 2006: Intrinsic linking and knotting of graphs in arbitrary 3-manifolds. Algebr. Geom. Topol., 6, 2006, 1025-1035.