Search results for "Bonahon–Siebenmann decomposition"

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Non-equivalent hyperbolic knots

2002

We construct, for each integer n 3, pairs of non-equivalent hyperbolic knots with the same 2fold and n-fold cyclic branched covers. We also discuss necessary conditions for such pairs of knots to exist.  2001 Elsevier Science B.V. All rights reserved. MSC: primary 57M25; secondary 57M12, 57M50

Hyperbolic knotsPure mathematicsQuantitative Biology::BiomoleculesCyclic branched coversHyperbolic groupSkein relationHyperbolic 3-manifoldOrbifoldsHyperbolic manifoldVolume conjectureMathematics::Geometric TopologyBonahon–Siebenmann decompositionKnot theoryAlgebraIntegerGeometry and TopologyMathematicsTopology and its Applications
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