Structure of symmetry group of some composite links and some applications

Yang Liu

Abstract

In this paper, we study the symmetry group of a type of composite topological links, such as 22m#22 . We have done a complete analysis on the elements of the symmetric group of this link and show the structure of the group. The results can be generalized to the study of the symmetry group of any composite topological link, and therefore it can be used for the classification of composite topological links, which can also be potentially used to identify synthetics molecules.

 


Keywords

knot; link; geometric topology; symmetry group; classification of links

Subject classification

57Q45; 57M25; 20B30; 20B35; 51H05.

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Universitat Politècnica de València

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