An analogy between representations of knot groups and Galois groups
type: Item
instance of: scholarly article
title: An analogy between representations of knot groups and Galois groups
zbMATH Open document ID: 1259.11059
author: Sachiko Ohtani
published in: Osaka Journal of Mathematics
publication date: 2012-02-17T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ojm/1326291208
review text: 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.
Mathematics Subject Classification ID: 11F80
Mathematics Subject Classification ID: 11R32
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 6006841
zbMATH Keywords: knot group
zbMATH Keywords: representation
zbMATH Keywords: Galois group
zbMATH Keywords: hyperbolic structure
reviewed by: Ismail Naci Cangül
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6006841