Intrinsic linking and knotting of graphs in arbitrary 3-manifolds
Geometric Topology
2009-04-17 v6 Combinatorics
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.
Cite
@article{arxiv.math/0508004,
title = {Intrinsic linking and knotting of graphs in arbitrary 3-manifolds},
author = {Erica Flapan and Hugh Howards and Don Lawrence and Blake Mellor},
journal= {arXiv preprint arXiv:math/0508004},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 9 August 2006