About "Bulky" Links, generated by Generalized Möbius Listing's bodies $GML^{n}_{3}$

Type: Article

Publication Date: 2013-03-13

Citations: 9

DOI: https://doi.org/10.4171/rlm/643

Abstract

In the present paper we consider the "bulky knots'' and "bulky links'', which appear after cutting a Generalized Möbius Listing's GML_3^n body (whose radial cross section is a plane 3 -symmetric figure with three vertices) along different Generalized Möbius Listing's surfaces GML_2^n situated in it. This article is aimed to investigate the number and geometric structure of the independent objects appearing after such a cutting process of GML_3^n bodies. In most cases we are able to count the indices of the resulting mathematical objects according to the known tabulation for Knots and Links of small complexity.

Locations

  • Rendiconti Lincei Matematica e Applicazioni - View - PDF

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