A group G is called left-orderable if one can find a total order on G, which is preserved under left multiplication. In this paper we first give a sufficient condition for the fundamental group of the nth cyclic branched cover of the three sphere over a prime knot K to be left-orderable, in terms of representations of the knot group. Then we make use of this criterion to study the left-orderability of fundamental groups of cyclic branched covers over two-bridge knots and satellite knots
In this work, we present a brief survey of knot theory supported by contact 3-manifolds. We focus on...
Over the last twenty years, a main focus of low-dimensional topology has been on categorified knot i...
We consider groups with cyclic presentations which arise as fundamental groups of a family of closed...
Abstract. We provide an alternative proof of a sufficient condition for the fundamental group of the...
This dissertation studies the L-space conjecture among manifolds which are branched cyclic covers of...
We consider the sequence of finite branched cyclic covers of $S\sp3$ branched along a tame knot $K :...
This dissertation studies the L-space conjecture among manifolds which are branched cyclic covers of...
The orderability of a 3-manifold group is closely connected to the topological properties of the man...
The orderability of a 3-manifold group is closely connected to the topological properties of the man...
In my thesis, I study left-orderability of $\mathbb{Q}$-homology spheres. I use $\widetilde{PSL_2\ma...
iii ti,is paper Xve study dic conrtections between cychic prescí,— tatiolís ob groups and time funda...
iii ti,is paper Xve study dic conrtections between cychic prescí,— tatiolís ob groups and time funda...
We study braided embeddings, which is a natural generalization of closed braids in three dimensions....
This book deals with the connections between topology and ordered groups. It begins with a self-cont...
Abstract. Let L ⊂ S3 denote an alternating link and Σ(L) its branched double-cover. We give a short ...
In this work, we present a brief survey of knot theory supported by contact 3-manifolds. We focus on...
Over the last twenty years, a main focus of low-dimensional topology has been on categorified knot i...
We consider groups with cyclic presentations which arise as fundamental groups of a family of closed...
Abstract. We provide an alternative proof of a sufficient condition for the fundamental group of the...
This dissertation studies the L-space conjecture among manifolds which are branched cyclic covers of...
We consider the sequence of finite branched cyclic covers of $S\sp3$ branched along a tame knot $K :...
This dissertation studies the L-space conjecture among manifolds which are branched cyclic covers of...
The orderability of a 3-manifold group is closely connected to the topological properties of the man...
The orderability of a 3-manifold group is closely connected to the topological properties of the man...
In my thesis, I study left-orderability of $\mathbb{Q}$-homology spheres. I use $\widetilde{PSL_2\ma...
iii ti,is paper Xve study dic conrtections between cychic prescí,— tatiolís ob groups and time funda...
iii ti,is paper Xve study dic conrtections between cychic prescí,— tatiolís ob groups and time funda...
We study braided embeddings, which is a natural generalization of closed braids in three dimensions....
This book deals with the connections between topology and ordered groups. It begins with a self-cont...
Abstract. Let L ⊂ S3 denote an alternating link and Σ(L) its branched double-cover. We give a short ...
In this work, we present a brief survey of knot theory supported by contact 3-manifolds. We focus on...
Over the last twenty years, a main focus of low-dimensional topology has been on categorified knot i...
We consider groups with cyclic presentations which arise as fundamental groups of a family of closed...