THREE CYCLIC BRANCHED COVERS SUFFICE TO DETERMINE HYPERBOLIC KNOTS-Reference-Cited by-同舟云学术

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THREE CYCLIC BRANCHED COVERS SUFFICE TO DETERMINE HYPERBOLIC KNOTS

Published:2005-08 Issue:05 Volume:14 Page:641-655
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

PAOLUZZI LUISA¹

Affiliation:

1. IMB, UMR 5584 du CNRS, Université de Bourgogne, 9, avenue Alain Savary, BP 47870, 21078 Dijon, CEDEX, France

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216505003981

Reference20 articles.

1. Lectures on Hyperbolic Geometry

2. Astérisque;Boileau M.,2001

3. The characteristic toric splitting of irreducible compact 3-orbifolds

4. MSJ Memoirs;Cooper D.,2000

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Cyclic branched covers of alternating knots;Annales Henri Lebesgue;2021-08-26

2. A Survey of the Impact of Thurston’s Work on Knot Theory;In the Tradition of Thurston;2020

3. On cyclic branched coverings of prime knots;Journal of Topology;2008-05-09

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