A modified version of the algorithm for computing Vassiliev's invariants of knots (Q2782066)
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scientific article; zbMATH DE number 1727543
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A modified version of the algorithm for computing Vassiliev's invariants of knots |
scientific article; zbMATH DE number 1727543 |
Statements
14 April 2002
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Vassiliev invariant
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actuality table
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singular knot
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A modified version of the algorithm for computing Vassiliev's invariants of knots (English)
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It is proved that for an arbitrary chord diagram \(D\) of order of 5 [\textit{D. Bar-Natan}, Math. Res. Lett. 2, No. 3, 239-246 (1995; Zbl 0851.57001)] there exists a finite number of singular knots \( K_1,\dots,K_{i_n} \) with chord diagram such that an arbitrary singular knot \(K\) with the chord diagram \(D\) can be reduced to the knot isotropic to one of the knots \(K_j\). Besides, the author modifies one of the versions of the algorithm for Vassiliev's calculation for knots which is based on the actuality tables [\textit{V. A. Vasil'ev}, Adv. Sov. Math. 1, 23-69 (1990; Zbl 0727.57008)].
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