Elsevier

Topology and its Applications

Volume 230, 1 October 2017, Pages 161-171
Topology and its Applications

Virtual Special Issue – Proceedings of the First Pan-Pacific International Conference on Topology and Applications (PPICTA)
Converting virtual link diagrams to normal ones

https://doi.org/10.1016/j.topol.2017.08.032Get rights and content
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Abstract

A virtual link diagram is called normal if the associated abstract link diagram is checkerboard colorable, and a virtual link is normal if it has a normal diagram as a representative. In this paper, we introduce a method of converting a virtual link diagram to a normal virtual link diagram by use of the double covering technique. We show that the normal virtual link diagrams obtained by this method from two equivalent virtual link diagrams are related by generalized Reidemeister moves and Kauffman flypes.

Keywords

Knot theory
Virtual knot
Normal virtual knot

Cited by (0)

This work was supported by JSPS KAKENHI Grant Number 15K04879.