Reidemeister torsion of the figure-eight knot exterior for \(\text{SL}(2,\mathbb{C})\)-representations (Q1804197)
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scientific article; zbMATH DE number 749314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reidemeister torsion of the figure-eight knot exterior for \(\text{SL}(2,\mathbb{C})\)-representations |
scientific article; zbMATH DE number 749314 |
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Reidemeister torsion of the figure-eight knot exterior for \(\text{SL}(2,\mathbb{C})\)-representations (English)
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12 May 1997
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Let \(M\) be the double of the complement of the figure eight knot. This paper shows that the set of values for \(\text{SL}(2;\mathbb{C})\)-representation Reidemeister torsion of \(M\) is all nonzero complex numbers. This contrasts with the case of Seifert fibered spaces, where the set of torsions is finite.
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figure eight knot
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Reidemeister torsion
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Seifert fibered spaces
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