Measure of a 2-component link (Q386806)
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scientific article; zbMATH DE number 6237270
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measure of a 2-component link |
scientific article; zbMATH DE number 6237270 |
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Measure of a 2-component link (English)
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10 December 2013
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A two-component link produces a torus as the product of the component knots in a two-point configuration space of a three-sphere. This space can be identified with a cotangent bundle and also with an indefinite Grassmannian. The author shows that the integration of the absolute value of the canonical symplectic form is equal to the area of the torus with respect to the pseudo-Riemannian structure. This area attains the minimum only at a very symmetric Hopf link shown in the article.
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knot energy
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symplectic measure
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Möbius geometry
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pseudo-Riemannian geometry
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