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Intrinsic linking and knotting of graphs in arbitrary 3-manifolds

Research paper by Erica Flapan, Hugh Howards, Don Lawrence, Blake Mellor

Indexed on: 17 Apr '09Published on: 17 Apr '09Published in: Mathematics - Geometric Topology



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.