Add to ORKGAbstract. We provide an alternative proof of a sufficient condition for the fundamental group of the nth cyclic branched cover of S3 along a prime knot K to be left-orderable, which is originally due to Boyer-Gordon-Watson. As an application of this sufficient condition, we show that for any (p, q) two-bridge knot, with p ≡ 3 mod 4, there are only finitely many cyclic branched covers whose fundamental groups are not left-orderable. This answers a question posed by Da̧bkowski, Przytycki and Togha. 1
In this paper we study the connections between cyclic presentations of groups and the fundamental gr...
In this paper we study the connections between cyclic presentations of groups and the fundamental gr...
The orderability of a 3-manifold group is closely connected to the topological properties of the man...
A group G is called left-orderable if one can find a total order on G, which is preserved under left...
Examples suggest that there is a correspondence between L-spaces and three-manifolds whose fundamen...
Examples suggest that there is a correspondence between L-spaces and three-manifolds whose fundamen...
This dissertation studies the L-space conjecture among manifolds which are branched cyclic covers of...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
Abstract. Let L ⊂ S3 denote an alternating link and Σ(L) its branched double-cover. We give a short ...
Examples suggest that there is a correspondence between L-spaces and three-manifolds whose fundament...
It is well known that left-orderability of a group need not be preserved under quotients. As knot gr...
Previous work of the authors establishes a criterion on the fundamental group of a knot complement t...
Previous work of the authors establishes a criterion on the fundamental group of a knot complement t...
In this paper we study the connections between cyclic presentations of groups and the fundamental gr...
In this paper we study the connections between cyclic presentations of groups and the fundamental gr...
The orderability of a 3-manifold group is closely connected to the topological properties of the man...
A group G is called left-orderable if one can find a total order on G, which is preserved under left...
Examples suggest that there is a correspondence between L-spaces and three-manifolds whose fundamen...
Examples suggest that there is a correspondence between L-spaces and three-manifolds whose fundamen...
This dissertation studies the L-space conjecture among manifolds which are branched cyclic covers of...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
Abstract. Let L ⊂ S3 denote an alternating link and Σ(L) its branched double-cover. We give a short ...
Examples suggest that there is a correspondence between L-spaces and three-manifolds whose fundament...
It is well known that left-orderability of a group need not be preserved under quotients. As knot gr...
Previous work of the authors establishes a criterion on the fundamental group of a knot complement t...
Previous work of the authors establishes a criterion on the fundamental group of a knot complement t...
In this paper we study the connections between cyclic presentations of groups and the fundamental gr...
In this paper we study the connections between cyclic presentations of groups and the fundamental gr...
The orderability of a 3-manifold group is closely connected to the topological properties of the man...