Some properties of “Bulky” Links Generated by Generalized Möbius–Listing Bodies GML4n

Abstract

In the present paper, we consider the “bulky knots” and “bulky links” that appear after cutting of generalized Möbius–Listing GML₄ⁿ bodies (with corresponding radial cross sections square) along different generalized Möbius–Listing surfaces GML₂ⁿ 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 GML₄ⁿ 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.