An analogy between representations of knot groups and Galois groups (Q663524)
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scientific article; zbMATH DE number 6006841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An analogy between representations of knot groups and Galois groups |
scientific article; zbMATH DE number 6006841 |
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An analogy between representations of knot groups and Galois groups (English)
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17 February 2012
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In this paper, the author considers the deformations of some hyperbolic structures on a knot complement and gives their analogy with some ordinary Galois representations. The paper starts with a review of Mazur's deformation theory and Morishita's analogy to that. There is a main result and some corollaries and examples to it following one of the similar results of Thurston and Zhou on the bianalyticity of a certain map this time to \(p\)-adic bianalyticity. The paper should be useful to those working with those deformations.
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knot group
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representation
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Galois group
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hyperbolic structure
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