English

On knots having zero negative unknotting number

Geometric Topology 2016-04-08 v1

Abstract

A knot in the 3-sphere is said to have zero negative unknotting number if it can be transformed into the unknot by performing only positive crossing changes. In this paper, we provide an obstruction for a knot to having zero negative unknotting number, and discuss its application to two classes of knots.

Keywords

Cite

@article{arxiv.1604.01868,
  title  = {On knots having zero negative unknotting number},
  author = {Yuanyuan Bao},
  journal= {arXiv preprint arXiv:1604.01868},
  year   = {2016}
}

Comments

14 pages, 5 figures. This paper was published two years ago

R2 v1 2026-06-22T13:27:07.475Z