Conway irreducible hyperbolic knots with two common covers

Luisa Paoluzzi (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

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.

Domaines: Topologie géométrique [math.GT]

Luisa Paoluzzi. Conway irreducible hyperbolic knots with two common covers. Comment. Math. Helv., 2005, 80, pp.643-653. ⟨hal-00638116⟩