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Some remarks on the chord index

School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing 100875, P. R. China

E-mail Address: czy@bnu.edu.cn

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Hongzhu Gao

School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing 100875, P. R. China

E-mail Address: hzgao@bnu.edu.cn

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, and

Mengjian Xu

College of Mathematics and Statistics, Guangxi Normal University, Guilin 541004, P. R. China

E-mail Address: xmj@gxnu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0218216520420031Cited by:4 (Source: Crossref)

This article is part of the issue:

Special Issue: Proceedings of 6th Russian — Chinese Conference on Knot Theory and Related Topics (Part 1)
Guest Editors: N. Abrosimov, Z. Cheng, L. H. Kauffman, A. Vesnin and Z. Yang

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:

AMSC: 57K12

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