Nonfibered knots and representation shifts

Details Nonfibered knots and representation shifts Nonfibered knots and representation shifts

2007-07-25

arxiv.org/abs/0707.3777v1

Mathematics

Geometric Topology

8 pages, no figures

Scientific paper

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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