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Displaying similar documents to “Ribbon knots of 1-fusion, the Jones polynomial, and the Casson-Walker invariant.”

The Knot Spectrum of Confined Random Equilateral Polygons

Y. Diao, C. Ernst, A. Montemayor, E. Rawdon, U. Ziegler (2014)

Molecular Based Mathematical Biology

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It is well known that genomic materials (long DNA chains) of living organisms are often packed compactly under extreme confining conditions using macromolecular self-assembly processes but the general DNA packing mechanism remains an unsolved problem. It has been proposed that the topology of the packed DNA may be used to study the DNA packing mechanism. For example, in the case of (mutant) bacteriophage P4, DNA molecules packed inside the bacteriophage head are considered to be circular...

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...

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.