Region crossing change is an unknotting operation
Geometric Topology
2014-01-17 v4
Abstract
Region crossing change is a local transformation on a knot or link diagram. We show that a region crossing change on a knot diagram is an unknotting operation, and we define the region unknotting numbers for a knot diagram and a knot.
Cite
@article{arxiv.1011.6304,
title = {Region crossing change is an unknotting operation},
author = {Ayaka Shimizu},
journal= {arXiv preprint arXiv:1011.6304},
year = {2014}
}
Comments
to appear in Journal of the Mathematical Society of Japan, 20 pages, 32 figures