2024/02/02 by Tetsuya Ito, Ito, Tetsuya
Engineering · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mechanical stress and fatigue analysis
paper · pdf · doi:10.48550/arxiv.2402.01129
openalex publication_date 2024/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A link in S3 is a fully positive braid link if it is the closure of a positive braid that contains at least one full-twist. We show that a fully positive braid link is a satellite link if and only if it is the satellite of a fully positive braid link C such that the pattern is a positive braid that contains sufficiently many full twists, where the number of necessary full twists only depends on C. As an application, we give a characterization of the unknot by the property that certain braided satellite is a (fully) positive braid knot.