# Knot manifolds with isomorphic spines

Alberto Cavicchioli; Friedrich Hegenbarth

Fundamenta Mathematicae (1994)

- Volume: 145, Issue: 1, page 79-89
- ISSN: 0016-2736

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topCavicchioli, Alberto, and Hegenbarth, Friedrich. "Knot manifolds with isomorphic spines." Fundamenta Mathematicae 145.1 (1994): 79-89. <http://eudml.org/doc/212035>.

@article{Cavicchioli1994,

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.},

author = {Cavicchioli, Alberto, Hegenbarth, Friedrich},

journal = {Fundamenta Mathematicae},

keywords = {3-manifold; spine; group presentation; Heegaard diagram; knot; knot group; knot manifold; peripheral system; 3-manifolds; Heegaard diagrams; invertible non-amphicheiral knots; knot manifolds with isomorphic spines; composite knots},

language = {eng},

number = {1},

pages = {79-89},

title = {Knot manifolds with isomorphic spines},

url = {http://eudml.org/doc/212035},

volume = {145},

year = {1994},

}

TY - JOUR

AU - Cavicchioli, Alberto

AU - Hegenbarth, Friedrich

TI - Knot manifolds with isomorphic spines

JO - Fundamenta Mathematicae

PY - 1994

VL - 145

IS - 1

SP - 79

EP - 89

AB - 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.

LA - eng

KW - 3-manifold; spine; group presentation; Heegaard diagram; knot; knot group; knot manifold; peripheral system; 3-manifolds; Heegaard diagrams; invertible non-amphicheiral knots; knot manifolds with isomorphic spines; composite knots

UR - http://eudml.org/doc/212035

ER -

## References

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