English

Prime component-preservingly amphicheiral link with odd minimal crossing number

Geometric Topology 2015-03-12 v4

Abstract

For every odd integer c21c\ge 21, we raise an example of a prime component-preservingly amphicheiral link with the minimal crossing number cc. The link has two components, and consists of an unknot and a knot which is ()(-)-amphicheiral with odd minimal crossing number. We call the latter knot a {\it Stoimenow knot}. We also show that the Stoimenow knot is not invertible by the Alexander polynomials.

Keywords

Cite

@article{arxiv.1202.6488,
  title  = {Prime component-preservingly amphicheiral link with odd minimal crossing number},
  author = {Teruhisa Kadokami and Yoji Kobatake},
  journal= {arXiv preprint arXiv:1202.6488},
  year   = {2015}
}

Comments

25 pages, 14 figures

R2 v1 2026-06-21T20:26:48.362Z