Converting virtual link diagrams to normal ones

2016/06/02 by Naoko Kamada, Kamada, Naoko · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Logic, programming, and type systems #math.GT #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1606.00667

arxiv created 2016/06/02 · openalex publication_date 2016/06/02 · arxiv updated 2016/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 from two equivalent virtual link diagrams are related by generalized Reidemeister moves and Kauffman flypes.

Citations

• On the Jones polynomials of checkerboard colorable virtual knots
• Double coverings of twisted links

Cited by

• Parallelization of Welded Links

Related

• Coherent double coverings of virtual link diagrams
• Up-down colorings of virtual-link diagrams and the necessity of Reidemeister moves of type II
• Non-Trivial Realizations of Virtual Link Diagrams
• Cyclic coverings of virtual link diagrams
• Virtual links which are equivalent as twisted links