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arXiv:math/0508004 [math.GT]AbstractReferencesReviewsResources

Intrinsic linking and knotting of graphs in arbitrary 3-manifolds

Erica Flapan, Hugh Howards, Don Lawrence, Blake Mellor

Published 2005-07-29, updated 2009-04-17Version 6

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.

Comments: This is the version published by Algebraic & Geometric Topology on 9 August 2006
Journal: Algebr. Geom. Topol. 6 (2006) 1025-1035
Categories: math.GT, math.CO
Subjects: 05C10, 57M25
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