- Tytuł:
- Knot manifolds with isomorphic spines
- Autorzy:
-
Cavicchioli, Alberto
Hegenbarth, Friedrich - Powiązania:
- https://bibliotekanauki.pl/articles/1208491.pdf
- Data publikacji:
- 1994
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
3-manifold
spine
group presentation
Heegaard diagram
knot
knot group
knot manifold
peripheral system - Opis:
- 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.
- Źródło:
-
Fundamenta Mathematicae; 1994, 145, 1; 79-89
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł