Flowlines transverse to fibred knots and links
R. Ghrist, E. Kin
Abstract
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.
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