Knot manifolds with isomorphic spines
Volume 145 / 1994
Fundamenta Mathematicae 145 (1994), 79-89
DOI: 10.4064/fm-145-1-79-89
Abstract
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.
