Intrinsic linking and knotting of graphs in arbitrary 3-manifolds

Abstract

We prove that a graph is intrinsically linked in an arbitrary 3-manifold M if and only if it is intrinsically linked in S^3. Also, assuming the Poincare Conjecture, we prove that a graph is intrinsically knotted in M if and only if it is intrinsically knotted in S^3.Comment: This is the version published by Algebraic & Geometric Topology on 9 August 200