English

Region crossing change on spatial theta-curves

Geometric Topology 2019-10-29 v1

Abstract

A region crossing change at a region of a spatial-graph diagram is a transformation changing every crossing on the boundary of the region. In this paper, it is shown that every spatial graph consisting of theta-curves can be unknotted by region crossing changes.

Cite

@article{arxiv.1910.12183,
  title  = {Region crossing change on spatial theta-curves},
  author = {Ayaka Shimizu and Rinno Takahashi},
  journal= {arXiv preprint arXiv:1910.12183},
  year   = {2019}
}

Comments

13 pages, 12 figures

R2 v1 2026-06-23T11:56:03.125Z