Chebotarev links are stably generic
Geometric Topology
2021-03-09 v5 Dynamical Systems
Number Theory
Abstract
We discuss the relationship between two analogues in a 3-manifold of the set of prime ideals in a number field. We prove that if is a sequence of knots obeying the Chebotarev law in the sense of Mazur and McMullen, then is a stably generic link in the sense of Mihara. An example we investigate is the planetary link of a fibered hyperbolic finite link in . We also observe a Chebotarev phenomenon of knot decomposition in a degree 5 non-Galois subcover of an (icosahedral)-cover.
Keywords
Cite
@article{arxiv.1902.06906,
title = {Chebotarev links are stably generic},
author = {Jun Ueki},
journal= {arXiv preprint arXiv:1902.06906},
year = {2021}
}
Comments
10 pages, several notes and Remark 10 are inserted in ver 2, the reference is refined in ver 3, several English errors are corrected and the title is changed in ver 4, "Corrigendum" is added in ver 5