Nonfibered knots and representation shifts
Volume 85 / 2009
Banach Center Publications 85 (2009), 101-107
MSC: Primary 57M25; Secondary 37B40.
DOI: 10.4064/bc85-0-7
Abstract
A conjecture of \cite{swTAMS} states 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.
