English

Diagrams realizing prescribed sublink diagrams for virtual links and welded links

Geometric Topology 2022-06-27 v2

Abstract

Jin and Lee proved the following: Suppose that D1,,DnD_1, \dots, D_n are link diagrams. Given a link LL which is partitioned into sublinks L1,,LnL_1, \dots, L_n admitting diagrams D1,,DnD_1, \dots, D_n respectively, there is a diagram DD of LL whose restrictions to L1,,LnL_1, \dots, L_n are isotopic to D1,,DnD_1, \dots, D_n, respectively. In this paper we show that a similar result does hold for welded links and does not for virtual links.

Keywords

Cite

@article{arxiv.2205.11688,
  title  = {Diagrams realizing prescribed sublink diagrams for virtual links and welded links},
  author = {Naoko Kamada},
  journal= {arXiv preprint arXiv:2205.11688},
  year   = {2022}
}