Prime component-preservingly amphicheiral link with odd minimal crossing number
Geometric Topology
2015-03-12 v4
Abstract
For every odd integer , we raise an example of a prime component-preservingly amphicheiral link with the minimal crossing number . 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