Nonfibered knots and representation shifts

Daniel S. Silver; Susan G. Williams

Banach Center Publications (2009)

  • Volume: 85, Issue: 1, page 101-107
  • ISSN: 0137-6934

Abstract

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A conjecture of [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.

How to cite

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Daniel S. Silver, and Susan G. Williams. "Nonfibered knots and representation shifts." Banach Center Publications 85.1 (2009): 101-107. <http://eudml.org/doc/282097>.

@article{DanielS2009,
abstract = {A conjecture of [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.},
author = {Daniel S. Silver, Susan G. Williams},
journal = {Banach Center Publications},
keywords = {knot; knot group; representation shift},
language = {eng},
number = {1},
pages = {101-107},
title = {Nonfibered knots and representation shifts},
url = {http://eudml.org/doc/282097},
volume = {85},
year = {2009},
}

TY - JOUR
AU - Daniel S. Silver
AU - Susan G. Williams
TI - Nonfibered knots and representation shifts
JO - Banach Center Publications
PY - 2009
VL - 85
IS - 1
SP - 101
EP - 107
AB - A conjecture of [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.
LA - eng
KW - knot; knot group; representation shift
UR - http://eudml.org/doc/282097
ER -

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