D. Caratelli, J. Gielis, P. E. Ricci, I. N. Tavkhelidze, “Some properties of “bulky” links generated by generalized Möbius–Listing bodies <nobr>$GML^n_4$</nobr>”, Contemporary Mathematics and Its Applications, 2014, Volume 94,Pages <nobr>509

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Some properties of “bulky” links generated by generalized Möbius–Listing bodies $GML^n_4$

D. Caratelli^a, J. Gielis^b, P. E. Ricci^c, I. N. Tavkhelidze^d

^a Delft University of Technology, Delft, The Netherlands
^b University of Antwerp, Groenenborgerlaan, Wilrijk, Belgium
^c Universita Campus Bio-medico di Roma, Roma, Italy
^d Tbilisi Ivane Javakhishvili State University

Abstract: In the present paper, we consider the “bulky knots” and “bulky links” that appear after cutting of generalized Möbius–Listing $GML^n_4$ bodies (with corresponding radial cross sections square) along different generalized Möbius–Listing surfaces $GML^n_2$ 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 $GML^n_4$ 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.

UDC: 515.1

Language: English