Writhe polynomial for virtual links
Geometric Topology
2018-12-14 v1
Abstract
A weak chord index is constructed for self crossing points of virtual links. Then a new writhe polynomial of virtual links is defined by using . is a generalization of writhe polynomial defined in [6]. Based on , three invariants of virtual links are constructed. These invariants can be used to detect the non-trivialities of Kishino knot and flat Kishino knot.
Cite
@article{arxiv.1812.05234,
title = {Writhe polynomial for virtual links},
author = {Mengjian Xu},
journal= {arXiv preprint arXiv:1812.05234},
year = {2018}
}
Comments
16 pages, 25 figures