Search results for "Volume conjecture"

showing 2 items of 2 documents

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

Conway irreducible hyperbolic knots with two common covers

2005

International audience; For each pair of coprime integers n > m ≥ 2 we construct pairs of non equivalent Conway irreducible hyperbolic knots with the same n-fold and m-fold cyclic branched covers.

[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]Pure mathematicsQuantitative Biology::BiomoleculesCoprime integersHyperbolic groupMathematics::Number TheoryGeneral Mathematics010102 general mathematicsSkein relationHyperbolic 3-manifoldVolume conjecture01 natural sciencesRelatively hyperbolic groupMathematics::Geometric TopologyKnot theoryAlgebra[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]0103 physical sciences010307 mathematical physics0101 mathematicsMathematics[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]
researchProduct