Periodic knots and the skein polynomial (Q1191359)
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scientific article; zbMATH DE number 59794
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic knots and the skein polynomial |
scientific article; zbMATH DE number 59794 |
Statements
Periodic knots and the skein polynomial (English)
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27 September 1992
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The paper contains a criterion for \(p\)-periodicity of knots (\(p\) an odd prime) in terms of a regularity in the coefficients of the 2-variable polynomial. As in the case of \(p=3\) in an earlier paper, the author reduces the proof of the case of a special class of torus knots and then uses formulas available for those. As an application the question of period 5 is settled for 10-crossing knots, using in some cases refinements implying cables.
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periodic knots
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\(p\)-periodicity of knots
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2-variable polynomial
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torus knots
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cables
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