Flowlines transverse to knot and link fibrations (Q1775490)

From MaRDI portal





scientific article; zbMATH DE number 2164607
Language Label Description Also known as
English
Flowlines transverse to knot and link fibrations
scientific article; zbMATH DE number 2164607

    Statements

    Flowlines transverse to knot and link fibrations (English)
    0 references
    0 references
    0 references
    3 May 2005
    0 references
    The paper considers knots and links in \({\mathbb S}^3\) whose complements fibre over \({\mathbb S}^1\) and for which every vector field transverse to the fibres has closed flow lines of all possible knot and link types in \({\mathbb S}^3\). The main result of the paper is that many knots and links are of this type, including all fibred non--torus \(2\)--bridge knots. The paper closes with an interesting discussion of the open problem ``Is a fibred knot (or link) of Pseudo--Anosov type always universally fibred?''.
    0 references
    Fibred knots and links
    0 references
    pseudo--Anosov monodromy maps.
    0 references

    Identifiers