English

Some remarks on the chord index

Geometric Topology 2020-12-29 v1

Abstract

In this paper we discuss how to define a chord index via smoothing a real crossing point of a virtual knot diagram. Several polynomial invariants of virtual knots and links can be recovered from this general construction. We also explain how to extend this construction from virtual knots to flat virtual knots.

Keywords

Cite

@article{arxiv.1811.09061,
  title  = {Some remarks on the chord index},
  author = {Zhiyun Cheng and Hongzhu Gao and Mengjian Xu},
  journal= {arXiv preprint arXiv:1811.09061},
  year   = {2020}
}

Comments

20 pages, 15 figures

R2 v1 2026-06-23T05:24:17.777Z