Intrinsic linking and knotting of graphs in arbitrary 3-manifolds

Details Intrinsic linking and knotting of graphs in arbitrary 3-manifolds Intrinsic linking and knotting of graphs in arbitrary 3-manifolds

2005-07-29

arxiv.org/abs/math/0508004v6

Algebr. Geom. Topol. 6 (2006) 1025-1035

Mathematics

Geometric Topology

This is the version published by Algebraic & Geometric Topology on 9 August 2006

Scientific paper

10.2140/agt.2006.6.1025

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.

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