English

Virtualized Delta, sharp, and pass moves for oriented virtual knots and links

Geometric Topology 2024-01-25 v1

Abstract

We study virtualized Delta, sharp, and pass moves for oriented virtual links, and give necessary and sufficient conditions for two oriented virtual links to be related by the local moves. In particular, they are unknotting operations for oriented virtual knots. We provide lower bounds for the unknotting numbers and prove that they are best possible.

Cite

@article{arxiv.2401.13195,
  title  = {Virtualized Delta, sharp, and pass moves for oriented virtual knots and links},
  author = {Takuji Nakamura and Yasutaka Nakanishi and Shin Satoh and Kodai Wada},
  journal= {arXiv preprint arXiv:2401.13195},
  year   = {2024}
}

Comments

20 pages

R2 v1 2026-06-28T14:25:25.589Z