Depth of foliations on tunnel number one genus one knot complements (Q2771404)
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scientific article; zbMATH DE number 1705465
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Depth of foliations on tunnel number one genus one knot complements |
scientific article; zbMATH DE number 1705465 |
Statements
19 September 2002
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depth of a foliation
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depth of a knot
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finite depth foliation
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Seifert surface
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surgery
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sutured manifold
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incompressible surface
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genus of a knot
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Depth of foliations on tunnel number one genus one knot complements (English)
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A result of Gabai says that every knot complement admits a finite depth foliation transverse to its boundary. Cantwell and Conlon defined then the depth of a knot as the minimum of the depth of the foliations which the knot complement admits. In the paper under review, the author studies the depth of foliations on tunnel number one genus one knot complements. He constructs mutually disjoint genus one Seifert surfaces for such a knot and he uses them to give an estimate for the depth of the foliations of the complement of the knot.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00036].
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