Determining knot groups by finite quotients

Abstract

We prove that hyperbolic 2-bridge knots are determined amongst all compact 3-manifolds by the profinite completions of their knot groups.

The authors wish to withdraw this article. The attempted proof of Theorem 1.1 is incorrect because of its dependence on the statement of Theorem 2.2 in this article. The first author's attempted proof of Theorem 2.2 (arXiv:2308.00266v2) is incorrect