2020/03/31 by Zipei Nie, Nie, Zipei · 1 citation
Engineering · Mathematics · Medicine · #Advanced Operator Algebra Research #Anatomy #Archaeology #Braid #Bridge (graph theory) #Combinatorics #Engineering #Geography #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematics #Mechanical engineering #Medicine #Pure mathematics #math.GT
paper · pdf · doi:10.48550/arxiv.2003.14296
17 pages
arxiv created 2020/03/31 · openalex publication_date 2020/03/31 · arxiv updated 2020/04/01 · openalex created_date 2020/04/10 · openalex updated_date 2026/07/28
We define the property (D) for nontrivial knots. We show that the fundamental group of the manifold obtained by Dehn surgery on a knot K with property (D) with slope (p)/(q)≥ 2g(K)-1 is not left orderable. By making full use of the fixed point method, we prove that (1) nontrivial knots which are closures of positive 1-bridge braids have property (D); (2) L-space satellite knots, with positive 1-bridge braid patterns, and companion with property (D), have property (D); (3) the fundamental group of the manifold obtained by Dehn filling on v2503 is not left orderable. Additionally, we prove that L-space twisted torus knots of form Tp,kp± 1l,m are closures of positive 1-bridge braids.