Nonfibered knots and representation shifts
Daniel S. Silver ; Susan G. Williams
Banach Center Publications, Tome 86 (2009), p. 101-107 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:282097 
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     title = {Nonfibered knots and representation shifts},
     journal = {Banach Center Publications},
     volume = {86},
     year = {2009},
     pages = {101-107},
     zbl = {1187.57010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-7}
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Daniel S. Silver; Susan G. Williams. Nonfibered knots and representation shifts. Banach Center Publications, Tome 86 (2009) pp. 101-107. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-7/