On the Jones polynomials of checkerboard colorable virtual knots

2000/08/10 by Naoko Kamada, Kamada, Naoko · 2 citations
Computer Science · Mathematics · #57M25 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.math/0008074

10 pages, 10 figures

arxiv created 2000/08/10 · openalex publication_date 2000/08/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The notion of chckerboard colorability for virtual links and abstract links is introduced. We study the Jones polynomials of virtual links and abstruct links. It is proved that a certain property of the Jones polynomials of classical links is valid for virtual links which admit checkerboard colorings.

Cited by

• Parallelization of Welded Links
• Converting virtual link diagrams to normal ones

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