Abstract

A knot or link in S³ is fibred if the complement fibres over S¹, the fibres being spanning surfaces. We focus on those fibred knots and links which have the following property: every vector field transverse to the fibres possesses closed flow lines of all possible knot and link types in S³. Our main result is that a large class of fibred knots and links has this property, including all fibred nontorus 2-bridge knots. In general, suficient conditions include a pseudo-Anosov type monodromy map and a suficiently high degree of symmetry.

Authors