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2006 Intrinsic linking and knotting of graphs in arbitrary 3–manifolds
Erica Flapan, Hugh Howards, Don Lawrence, Blake Mellor
Algebr. Geom. Topol. 6(3): 1025-1035 (2006). DOI: 10.2140/agt.2006.6.1025

Abstract

We prove that a graph is intrinsically linked in an arbitrary 3–manifold M if and only if it is intrinsically linked in S3. Also, assuming the Poincaré Conjecture, we prove that a graph is intrinsically knotted in M if and only if it is intrinsically knotted in S3.

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Erica Flapan. Hugh Howards. Don Lawrence. Blake Mellor. "Intrinsic linking and knotting of graphs in arbitrary 3–manifolds." Algebr. Geom. Topol. 6 (3) 1025 - 1035, 2006. https://doi.org/10.2140/agt.2006.6.1025

Information

Received: 25 October 2005; Revised: 3 May 2006; Accepted: 11 May 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1128.57005
MathSciNet: MR2240923
Digital Object Identifier: 10.2140/agt.2006.6.1025

Subjects:
Primary: 05C10, 57M25

Rights: Copyright © 2006 Mathematical Sciences Publishers

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