2024/01/23 by Takuji Nakamura, Nakamura, Takuji, Yasutaka Nakanishi +5
Computer Science · Engineering · Mathematics · #Advanced Materials and Mechanics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Primary 57K12 #Secondary 57K10 #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2401.12506
openalex publication_date 2024/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a local deformation called the virtualized Δ-move for virtual knots and links. We prove that the virtualized Δ-move is an unknotting operation for virtual knots. Furthermore we give a necessary and sufficient condition for two virtual links to be related by a finite sequence of virtualized Δ-moves.