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Some properties of “Bulky” Links Generated by Generalized Möbius–Listing Bodies GML n4

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Abstract

In the present paper, we consider the “bulky knots” and “bulky links” that appear after cutting of generalized Möbius–Listing GML n4 bodies (with corresponding radial cross sections square) along different generalized Möbius–Listing surfaces GML n2 situated in it. The aim of this article is to examine the number and geometric structure of independent objects that appear after such a cutting process of GML n4 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.

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Authors and Affiliations

  1. Delft University of Technology, Delft, The Netherlands

    D. Caratelli

  2. University of Antwerp, Groenenborgerlaan, Wilrijk, Belgium

    J. Gielis

  3. Universitá Campus Bio-medico di Roma, Roma, Italy

    P. E. Ricci

  4. I. Javakhishvili Tbilisi State University, Tbilisi, Georgia

    I. Tavkhelidze

Authors
  1. D. Caratelli
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  2. J. Gielis
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  3. P. E. Ricci
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  4. I. Tavkhelidze
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Corresponding author

Correspondence to D. Caratelli.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 94, Proceedings of the International Conference “Lie Groups, Differential Equations, and Geometry,” June 10–22, 2013, Batumi, Georgia, Part 1, 2014.

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Caratelli, D., Gielis, J., Ricci, P.E. et al. Some properties of “Bulky” Links Generated by Generalized Möbius–Listing Bodies GML n4 . J Math Sci 216, 509–518 (2016). https://doi.org/10.1007/s10958-016-2907-x

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  • DOI: https://doi.org/10.1007/s10958-016-2907-x

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