Generalized virtualization on welded links

Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara

研究成果: Article査読

抄録

The aim of this paper is to study two local moves V (n) and V n on welded links for a positive integer n, which are generalizations of the crossing virtualization. We show that the V (n)-move is an unknotting operation on welded knots for any n, and give a classification of welded links up to V (n)-moves. On the other hand, we give a necessary condition for two welded links to be equivalent up to V n-moves. This leads us to show that the V n-move is not an unknotting operation on welded knots except for n = 1. We also discuss relations among V n-moves, associated core groups and the multiplexing of crossings.

本文言語English
ページ(範囲)923-944
ページ数22
ジャーナルJournal of the Mathematical Society of Japan
72
3
DOI
出版ステータスPublished - 2020

ASJC Scopus subject areas

  • Mathematics(all)

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