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.
@article{bwmeta1.element.bwnjournal-article-fmv145i1p79bwm,
author = {Alberto Cavicchioli and Friedrich Hegenbarth},
title = {Knot manifolds with isomorphic spines},
journal = {Fundamenta Mathematicae},
volume = {144},
year = {1994},
pages = {79-89},
zbl = {0832.57007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv145i1p79bwm}
}
Cavicchioli, Alberto; Hegenbarth, Friedrich. Knot manifolds with isomorphic spines. Fundamenta Mathematicae, Tome 144 (1994) pp. 79-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv145i1p79bwm/
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