English

When is region crossing change an unknotting operation?

Geometric Topology 2015-06-03 v1

Abstract

In this paper, we prove that region crossing change on a link diagram is an unknotting operation if and only if the link is proper. A description of the behavior of region crossing change on link diagrams is given. Furthermore we also discuss the relation between region crossing change and the Arf invariant of proper links.

Cite

@article{arxiv.1201.1735,
  title  = {When is region crossing change an unknotting operation?},
  author = {Zhiyun Cheng},
  journal= {arXiv preprint arXiv:1201.1735},
  year   = {2015}
}

Comments

10 pages, 7 figures

R2 v1 2026-06-21T20:01:58.416Z