Realization of Vassiliev invariants by unknotting number one knots (Q696202)

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scientific article; zbMATH DE number 1799648
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Realization of Vassiliev invariants by unknotting number one knots
scientific article; zbMATH DE number 1799648

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    Realization of Vassiliev invariants by unknotting number one knots (English)
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    5 November 2002
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    It is proved that for any \(n\geq 1\) and any knot \(K\) in \(S^3\) there are infinitely many knots of unknotting number \(1\) which are not distinguished from \(K\) by any Vassiliev-Gusarov invariant of order \(\leq n\).
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    knots
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    Vassiliev invariants
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    unknotting number
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