Flowlines transverse to fibred knots and links
Geometric Topology
2007-05-23 v1 Dynamical Systems
Abstract
We consider vector fields on knot/link complements in 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.
Cite
@article{arxiv.math/0301250,
title = {Flowlines transverse to fibred knots and links},
author = {R. Ghrist and E. Kin},
journal= {arXiv preprint arXiv:math/0301250},
year = {2007}
}
Comments
28 pages; 22 figures