Zeros of the Jones polynomial are dense in the complex plane (Q986696)
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scientific article; zbMATH DE number 5769509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zeros of the Jones polynomial are dense in the complex plane |
scientific article; zbMATH DE number 5769509 |
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Zeros of the Jones polynomial are dense in the complex plane (English)
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12 August 2010
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Summary: We present a formula for computing the Tutte polynomial of the signed graph formed from a labeled graph by edge replacements in terms of the chain polynomial of the labeled graph. Then we define a family of `ring of tangles' links and consider zeros of their Jones polynomials. By applying the formula obtained, Beraha-Kahane-Weiss's theorem and Sokal's lemma, we prove that zeros of Jones polynomials of (pretzel) links are dense in the whole complex plane.
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Tutte polynomial of a signed graph
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