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5-moves and Montesinos links - MaRDI portal

5-moves and Montesinos links (Q996128)

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5-moves and Montesinos links
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    5-moves and Montesinos links (English)
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    12 September 2007
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    A \(k\)-move is a natural operation on knots introduced by Nakanishi. In the case \(k= 2\), it is the usual crossing change. In this paper the authors give equivalence classes (up to mutations and 5-moves) of Montesinos links. This is then related to Jones and Kauffman polynomials to completely determine the 5-move equivalence classes.
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    Montesinos links
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    \(k\)-moves
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