A+ CATEGORY SCIENTIFIC UNIT

Nonfibered knots and representation shifts

Volume 85 / 2009

Daniel S. Silver, Susan G. Williams 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.

Authors

  • Daniel S. SilverDepartment of Mathematics and Statistics
    University of South Alabama
    ILB 325, Mobile, AL 36688, U.S.A.
    e-mail
  • Susan G. WilliamsDepartment of Mathematics and Statistics
    University of South Alabama
    ILB 325, Mobile, AL 36688, U.S.A.
    e-mail

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