2003/01/22 by Robert Ghrist, R. Ghrist, Ghrist, R. +3
Engineering · Mathematics · #37C27 #57M25 #Advanced Numerical Analysis Techniques #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.DS #math.GT #msc:37C27 #msc:57M25
paper · pdf · doi:10.48550/arxiv.math/0301250
28 pages; 22 figures
arxiv created 2003/01/22 · openalex publication_date 2003/01/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider vector fields on knot/link complements in S3 which are transverse to the fibres of a fibration of the complement over a circle. We prove that a large class of fibred knots/links, including all non-torus fibred 2-bridge knots, has the following property: any vector field transverse to the fibres of the fibration of the complement must possess periodic orbits representing all possible knot and link types.