INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES
BANACH CENTER
PUBLICATIONS
ISSN: 0137-6934(p) 1730-6299(e)
Nonfibered knots and representation shifts
Daniel S. Silver1, Susan G. Williams2 Banach Center Publ. 85 (2009), 101-107
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.