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Intrinsic linking and
knotting of graphs in arbitrary 3–manifolds
Erica Flapan, Hugh Howards, Don Lawrence and Blake Mellor |
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Algebraic & Geometric Topology 6 (2006) 1025–1035
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arXiv: math.GT/0508004 |
Abstract |
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We prove that a graph is intrinsically linked in an arbitrary 3–manifold if and only if it is intrinsically linked in . Also, assuming the Poincaré Conjecture, we prove that a graph is intrinsically knotted in if and only if it is intrinsically knotted in . |
Keywords
intrinsically linked graphs, intrinsically knotted graphs,
3–manifolds
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Mathematical Subject Classification 2000
Primary: 05C10, 57M25
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References |
Forward citations |
Publication
Received: 25 October 2005
Revised: 3 May 2006
Accepted: 11 May 2006
Published: 9 August 2006
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Authors |
| Erica Flapan | |
| Department of Mathematics Pomona College % Claremont, CA 91711 USA |
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| Hugh Howards | |
| Department of Mathematics Wake Forest University % Winston-Salem, NC 27109 USA |
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| Don Lawrence | |
| Department of Mathematics Occidental College % Los Angeles, CA 90041 USA |
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| Blake Mellor | |
| Department of Mathematics Loyola Marymount University % Los Angeles, CA 90045 USA |
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