2023/12/01 by Kodai Wada, Wada, Kodai
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Primary 57K12 #Secondary 57K10
paper · pdf · doi:10.48550/arxiv.2312.00537
openalex publication_date 2023/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a virtual knot K and an integer r with r≥2, we introduce a method of constructing an r-component virtual link L(K;r), which we call the r-multiplexing of K. Every invariant of L(K;r) is an invariant of K. We give a way of calculating three kinds of invariants of L(K;r) using invariants of K. As an application of our method, we also show that Manturov's virtual n-colorings for K can be interpreted as certain classical n-colorings for L(K;2).