Displaying similar documents to “Octagonal Knotworks. A Mathematical Approach”

Knot manifolds with isomorphic spines

Alberto Cavicchioli, Friedrich Hegenbarth (1994)

Fundamenta Mathematicae

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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...

Even partition functions.

Ben Saïd, F., Nicolas, J.-L. (2002)

Séminaire Lotharingien de Combinatoire [electronic only]

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High-dimensional knots corresponding to the fractional Fibonacci groups

Andrzej Szczepański, Andreĭ Vesnin (1999)

Fundamenta Mathematicae

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We prove that the natural HNN-extensions of the fractional Fibonacci groups are the fundamental groups of high-dimensional knot complements. We also give some characterization and interpretation of these knots. In particular we show that some of them are 2-knots.

A note on codes and kets.

Caragiu, Mihai (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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