Search results for "Bonahon-Siebenmann decomposition"

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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]
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