Non-equivalent hyperbolic knots

6533b862fe1ef96bd12c6c94

RESEARCH PRODUCT

Non-equivalent hyperbolic knots

subject

Hyperbolic knots Pure mathematics Quantitative Biology::Biomolecules Cyclic branched covers Hyperbolic group Skein relation Hyperbolic 3-manifold Orbifolds Hyperbolic manifold Volume conjecture Mathematics::Geometric Topology Bonahon–Siebenmann decomposition Knot theory Algebra Integer Geometry and Topology Mathematics

description

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

year	journal	country	edition	language
2002-10-01	Topology and its Applications

10.1016/s0166-8641(01)00240-1 http://dx.doi.org/10.1016/S0166-8641(01)00240-1

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