Search results for "Cyclic branched covers"

showing 2 items of 2 documents

On hyperbolic type involutions

2001

We give a bound on the number of hyperbolic knots which are double covered by a fixed (non hyperbolic) manifold in terms of the number of tori and of the invariants of the Seifert fibred pieces of its Jaco-Shalen-Johannson decomposition. We also investigate the problem of finding the non hyperbolic knots with the same double cover of a hyperbolic one and give several examples to illustrate the results.

Bonahon-Siebenmann decomposition[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]Seifert fibrationsMathematics::Dynamical Systemscyclic branched coversMathematics::Geometric Topology57M5057M6057M12[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]57M25orbifoldshyperbolic knots[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]
researchProduct

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
researchProduct