JournalsrlmVol. 24, No. 1pp. 11–38

About "Bulky" Links, generated by Generalized Möbius Listing's bodies GML3nGML^{n}_{3}

  • I. Tavkhelidze

    Javakhishvili Tbilisi State University, Georgia
  • C. Cassisa

    Università di Roma La Sapienza, Italy
  • Johan Gielis

    Universiteit Antwerpen, Belgium
  • Paolo E. Ricci

    Università Campus Bio-medico di Roma, Italy
About "Bulky" Links, generated by Generalized Möbius Listing's  bodies $GML^{n}_{3}$ cover
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Abstract

In the present paper we consider the "bulky knots'' and "bulky links'', which appear after cutting a Generalized Möbius Listing's GML3nGML_3^n body (whose radial cross section is a plane 33-symmetric figure with three vertices) along different Generalized Möbius Listing's surfaces GML2nGML_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 GML3nGML_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.

Cite this article

I. Tavkhelidze, C. Cassisa, Johan Gielis, Paolo E. Ricci, About "Bulky" Links, generated by Generalized Möbius Listing's bodies GML3nGML^{n}_{3}. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 24 (2013), no. 1, pp. 11–38

DOI 10.4171/RLM/643