Profinite rigidity for twisted Alexander polynomials
Geometric Topology
2021-11-19 v6
Abstract
We formulate and prove a profinite rigidity theorem for the twisted Alexander polynomials up to several types of finite ambiguity. We also establish torsion growth formulas of the twisted homology groups in a -cover of a 3-manifold with use of Mahler measures. We examine several examples associated to Riley's parabolic representations of two-bridge knot groups and give a remark on hyperbolic volumes.
Cite
@article{arxiv.1909.01334,
title = {Profinite rigidity for twisted Alexander polynomials},
author = {Jun Ueki},
journal= {arXiv preprint arXiv:1909.01334},
year = {2021}
}
Comments
19pages; several remarks are inserted (v3), several minor errors are corrected (v4) +3pages; "Erratum" is added at the end (v6)