A note on the writhe polynomial and the virtual crossing number
Geometric Topology
2018-05-25 v2
Abstract
In this note we give a new lower bound on the virtual crossing number via the writhe polynomial, which refines a result of B. Mellor. The proof is based on a new interpretation of the writhe polynomial. The characterization of the writhe polynomial is also discussed.
Keywords
Cite
@article{arxiv.1805.07704,
title = {A note on the writhe polynomial and the virtual crossing number},
author = {Zhiyun Cheng},
journal= {arXiv preprint arXiv:1805.07704},
year = {2018}
}
Comments
The main result of this paper has been obtained by S. Satoh and K. Taniguchi in "The writhes of a virtual knot", Fundamenta Mathematicae 225 (2014), no. 1,327--342