About 'bulky' links generated by generalized Möbius–listing bodies $ GML_2^n $

Autor:	Paolo Ricci, Ilia Tavkhelidze, Johan Gielis
Rok vydání:	2013
Předmět:	Statistics and Probability Combinatorics Cross section (physics) Plane (geometry) Applied Mathematics General Mathematics Regular polygon Structure (category theory) Geometry Listing (computer) Border line Mathematics
Zdroj:	Journal of mathematical sciences
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-013-1474-7
Popis:	In this paper, we consider the “bulky knots” and “bulky links,” which appear after cutting of a Generalized Mobius–Listing \( GML_2^n \) body (with the radial cross section a convex plane 2-symmetric figure with two vertices) along a different Generalized Mobius–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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd0bda1b72abd46e1298ec50c29ee7fa https://doi.org/10.1007/s10958-013-1474-7 Zobrazit plný text záznamu Plný text ve formátu PDF