Flowlines transverse to fibred knots and links

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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.
28 pages; 22 figures

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Geometric Topology, Dynamical Systems, 57M25; 37C27

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http://salesiana.dossiersoluciones.com/handle/123456789/66325

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301250
 http://arxiv.org/abs/math/0301250

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arXiv