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About “bulky” links generated by generalized Möbius–listing bodies \( GML_2^n \)

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Abstract

In this paper, we consider the “bulky knots” and “bulky links,” which appear after cutting of a Generalized Möbius–Listing \( GML_2^n \) body (with the radial cross section a convex plane 2-symmetric figure with two vertices) along a different Generalized Möbius–Listing surfaces \( GML_2^n \) situated in it. The aim of this report is to investigate the number and geometric structure of the independent objects that appear after such a cutting process of \( GML_2^n \) bodies. In most cases we are able to count the indices of the resulting mathematical objects according to the known classification for the standard knots and links.

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Authors and Affiliations

  1. Department of Bioscience Engineering, Genicap BV & University of Antwerp, Antwerp, Belgium

    J. Gielis

  2. Department of Mathematics, I. Javakhishvili Tbilisi State University, Tbilisi, Georgia

    I. Tavkhelidze

  3. Campus Bio-Medico & International Telematic, University UniNettuno, Roma, Italy

    P. E. Ricci

Authors
  1. J. Gielis
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  2. I. Tavkhelidze
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  3. P. E. Ricci
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Correspondence to J. Gielis.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 80, Proceedings of the International Conference “Modern Algebra and Its Applications” (Batumi, 2011), Part 1, 2012.

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Gielis, J., Tavkhelidze, I. & Ricci, P.E. About “bulky” links generated by generalized Möbius–listing bodies \( GML_2^n \) . J Math Sci 193, 449–460 (2013). https://doi.org/10.1007/s10958-013-1474-7

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  • DOI: https://doi.org/10.1007/s10958-013-1474-7

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