Nonfibered knots and representation shifts
Geometric Topology
2007-07-26 v1 Dynamical Systems
Abstract
The authors conjectured previously that a knot is nonfibered if and only if its infinite cyclic cover has uncountably many finite covers. We prove the conjecture for a class of knots that includes all knots of genus 1, using techniques from symbolic dynamics.
Keywords
Cite
@article{arxiv.0707.3777,
title = {Nonfibered knots and representation shifts},
author = {Daniel S. Silver and Susan G. Williams},
journal= {arXiv preprint arXiv:0707.3777},
year = {2007}
}
Comments
8 pages, no figures