Three cyclic branched covers suffice to determine hyperbolic knots.

Abstract : Let n > m > 2 be two fixed coprime integers. We prove that two Conway reducible, hyperbolic knots sharing the 2-fold, m-fold and n-fold cyclic branched covers are equivalent. Using previous results by Zimmermann we prove that this implies that a hyperbolic knot is determined by any three of its cyclic branched covers.
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https://hal.archives-ouvertes.fr/hal-00638120
Contributor : Luisa Paoluzzi <>
Submitted on : Thursday, November 3, 2011 - 11:43:43 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM

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Luisa Paoluzzi. Three cyclic branched covers suffice to determine hyperbolic knots.. J. Knot Theory Ramifications, 2005, 14, pp.641-655. ⟨hal-00638120⟩

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