From chord parity to chord index-Reference-Cited by-同舟云学术

From chord parity to chord index

Published:2020-11 Issue:13 Volume:29 Page:2043004
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Cheng Zhiyun¹,Fedoseev Denis A.²,Gao Hongzhu¹,Manturov Vassily O.³⁴⁵,Xu Mengjian⁶

Affiliation:

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

2. Moscow Center for Fundamental and Applied Mathematics, Moscow State University, Moscow, Russia

3. Moscow Institute of Physics and Technology, Moscow 105005, Russia

4. Northeastern University, Shenyang City, Liaoning Province, People’s Republic of China

5. Kazan Federal University, Kazan, Russia

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

Abstract

We give a brief survey of virtual knot invariants derived from chord parity or chord index. These invariants have grown into an area in its own right due to rapid developing in the last decade. Several similar invariants of flat virtual knots and free knots are also discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821652043004X

Reference50 articles.

1. Refining virtual knot invariants by means of parity

2. Knot polynomials and Vassiliev's invariants

3. Virtual Knot Cobordism and Bounding the Slice Genus

4. Alexander invariants for virtual knots

5. Concordance group of virtual knots

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