Virtualized Delta moves for virtual knots and links
Geometric Topology
2024-01-24 v1
Abstract
We introduce a local deformation called the virtualized -move for virtual knots and links. We prove that the virtualized -move is an unknotting operation for virtual knots. Furthermore we give a necessary and sufficient condition for two virtual links to be related by a finite sequence of virtualized -moves.
Keywords
Cite
@article{arxiv.2401.12506,
title = {Virtualized Delta moves for virtual knots and links},
author = {Takuji Nakamura and Yasutaka Nakanishi and Shin Satoh and Kodai Wada},
journal= {arXiv preprint arXiv:2401.12506},
year = {2024}
}
Comments
10 pages