Flowlines transverse to fibred knots and links

Details Flowlines transverse to fibred knots and links Flowlines transverse to fibred knots and links

2003-01-22

arxiv.org/abs/math/0301250v1

Mathematics

Geometric Topology

28 pages; 22 figures

Scientific paper

We consider vector fields on knot/link complements in $S^3$ 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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