Vassiliev type invariants in Arnold's \(J^+\)-theory of plane curves without direct self-tangencies (Q1384310)
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scientific article; zbMATH DE number 1140356
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vassiliev type invariants in Arnold's \(J^+\)-theory of plane curves without direct self-tangencies |
scientific article; zbMATH DE number 1140356 |
Statements
Vassiliev type invariants in Arnold's \(J^+\)-theory of plane curves without direct self-tangencies (English)
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28 March 1999
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It is proved that the spaces of complex-valued Vassiliev type invariants for oriented regular plane curves without directed self-tangencies and for oriented framed knots in a solid torus coincide. The isomorphism is given by the Legendrian lift of plane curves to the solid torus.
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plane curves
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torus knots
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Vassiliev type invariants
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