Some remarks on the chord index

Cheng Zhiyun; Gao Hongzhu; Xu Mengjian

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Some remarks on the chord index

机译：关于和弦指数的一些评论

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摘要

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.

机译：在本文中，我们讨论了如何通过平滑虚拟节点图的实际交叉点来定义弦指数。从这个一般构造中可以恢复虚拟节点和链接的几个多项式不变量。我们还解释了如何将这种构造从虚拟结扩展到平面虚拟结。

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来源
《Journal of knot theory and its ramifications》 |2020年第10期|共25页
作者
Cheng Zhiyun; Gao Hongzhu; Xu Mengjian;
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作者单位

Beijing Normal Univ Sch Math Sci Lab Math &

Complex Syst Beijing 100875 Peoples R China;

Beijing Normal Univ Sch Math Sci Lab Math &

Complex Syst Beijing 100875 Peoples R China;

Guangxi Normal Univ Coll Math &

Stat Guilin 541004 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类纽结理论;
关键词
Virtual knot; flat virtual knot; chord index; writhe polynomial;

机译：None;

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7. A remark to the locus of centers of chords led by a point to a conic [O] . Antonín Pleskot 1903

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Some remarks on the chord index

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