Geodesic
Knot manifolds with isomorphic spines
Fundamenta Mathematicae, Tome 145 (1994) no. 1, pp. 79-89.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the relation between the concept of spine and the representation of orientable bordered 3-manifolds by Heegaard diagrams. As a consequence, we show that composing invertible non-amphicheiral knots yields examples of topologically different knot manifolds with isomorphic spines. These results are related to some questions listed in [9], [11] and recover the main theorem of [10] as a corollary. Finally, an application concerning knot manifolds of composite knots with h prime factors completes the paper.
DOI : 10.4064/fm-145-1-79-89
Keywords: 3-manifold, spine, group presentation, Heegaard diagram, knot, knot group, knot manifold, peripheral system

Alberto Cavicchioli 1 ; Friedrich Hegenbarth 1

1 
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Alberto Cavicchioli; Friedrich Hegenbarth. Knot manifolds with isomorphic spines. Fundamenta Mathematicae, Tome 145 (1994) no. 1, pp. 79-89. doi : 10.4064/fm-145-1-79-89. http://geodesic.mathdoc.fr/articles/10.4064/fm-145-1-79-89/

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