We show that, for any prime p, a knot K in $S^3$ is determined by its p-fold cyclic unbranched covering. We also investigate when the m-fold cyclic unbranched covering of a knot in $S^3$ coincides with the n-fold cyclic unbranched covering of another knot, for different coprime integers m and n
As a consequence of a general result about finite group actions on 3-manifolds, we show that a hype...
As a consequence of a general result about finite group actions on 3-manifolds, we show that a hyper...
AbstractLet τp,q⊂S3 denote the p,q-torus knot. It is known that if ϕ:M→S3 is a branched covering bra...
Summary.- We show that, for any prime p, a knot K in S3 is determined by its p-fold cyclic unbranche...
We collect several results on the determination of hyperbolic knots by means of their cyclic branche...
We collect several results on the determination of hyperbolic knots by means of their cyclic branche...
We give a survey on recent progress and remaining open problems on the number and the geometry of k...
There is an extensive literature on the characterization of knots in the 3-sphere which have the sam...
AbstractWe determine the exact geometric relation between two hyperbolic knots K and K′ such that th...
AbstractWe have proved in previous work that, for any pair of different integers m > n > 2 (respecti...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
We say a knot k in the 3-sphere S^3 has Property IE if the infinite cyclic cover of the knot exteri...
AbstractThere exist in the literature many examples of different knots or links with homeomorphic cy...
International audienceLet n > m > 2 be two fixed coprime integers. We prove that two Conway reducibl...
A classical theorem of Hurewitz says that the isometry group of a closed 2-dimensional hyperbolic ma...
As a consequence of a general result about finite group actions on 3-manifolds, we show that a hype...
As a consequence of a general result about finite group actions on 3-manifolds, we show that a hyper...
AbstractLet τp,q⊂S3 denote the p,q-torus knot. It is known that if ϕ:M→S3 is a branched covering bra...
Summary.- We show that, for any prime p, a knot K in S3 is determined by its p-fold cyclic unbranche...
We collect several results on the determination of hyperbolic knots by means of their cyclic branche...
We collect several results on the determination of hyperbolic knots by means of their cyclic branche...
We give a survey on recent progress and remaining open problems on the number and the geometry of k...
There is an extensive literature on the characterization of knots in the 3-sphere which have the sam...
AbstractWe determine the exact geometric relation between two hyperbolic knots K and K′ such that th...
AbstractWe have proved in previous work that, for any pair of different integers m > n > 2 (respecti...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
We say a knot k in the 3-sphere S^3 has Property IE if the infinite cyclic cover of the knot exteri...
AbstractThere exist in the literature many examples of different knots or links with homeomorphic cy...
International audienceLet n > m > 2 be two fixed coprime integers. We prove that two Conway reducibl...
A classical theorem of Hurewitz says that the isometry group of a closed 2-dimensional hyperbolic ma...
As a consequence of a general result about finite group actions on 3-manifolds, we show that a hype...
As a consequence of a general result about finite group actions on 3-manifolds, we show that a hyper...
AbstractLet τp,q⊂S3 denote the p,q-torus knot. It is known that if ϕ:M→S3 is a branched covering bra...