An analogy between representations of knot groups and Galois groups (Q663524)

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.