Flowlines transverse to knot and link fibrations (Q1775490)
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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)
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3 May 2005
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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?''.
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Fibred knots and links
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pseudo--Anosov monodromy maps.
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