Nonfibered knots and representation shifts
classification
🧮 math.GT
math.DS
keywords
knotsnonfiberedauthorsclassconjectureconjecturedcovercovers
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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.
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