English

An unknotting index for virtual knots

Geometric Topology 2017-09-05 v1

Abstract

In this paper we introduce the notion of an unknotting index for virtual knots. We give some examples of computation by using writhe invariants, and discuss a relationship between the unknotting index and the virtual knot module. In particular, we show that for any non-negative integer nn there exists a virtual knot whose unknotting index is (1,n)(1,n).

Keywords

Cite

@article{arxiv.1709.00817,
  title  = {An unknotting index for virtual knots},
  author = {K. Kaur and S. Kamada and A. Kawauchi and M. Prabhakar},
  journal= {arXiv preprint arXiv:1709.00817},
  year   = {2017}
}
R2 v1 2026-06-22T21:32:04.721Z