Add to ORKGThe groups of high dimensional knots have been characterized by Kervaire [7], but there is still no general description of all 2-knot groups. Kervaire identified a large class of groups that are natural candidates to serve as 2-knot groups and proved that each of these groups is th
The fundamental group of a knot complement is called a knot group. A way to present a knot groups ...
textThis thesis investigates the topology and geometry of hyperbolic knot complements that are comme...
Abstract: I give my view of the early history of the discovery of hyper-bolic structures on knot com...
A n-knot group is the fundamental group of the complement of an n-sphere smoothly embedded in Sn+2. ...
We begin with an introduction to algebraic topology, knot theory, and SU(2) matrices as a subset of ...
We construct an invariant of 2-knots akin to the Jones polynomial of a knot. To achieve this, we ado...
Abstract. We find explicit models for the PSL2(C)- and SL2(C)-character varieties of the fundamental...
In this article we study a partial ordering on knots in S3 where K1 K2 if there is an epimorphism f...
ABSTRACT. If k: S 2-,S 4 is a 2-knot with group G-•,ri(S4-k(S2)) and if G is the fundamental group o...
The recent proof by Bigelow and Krammer that the braid groups are linear opens the possibility of ap...
DoctorThe abelian monoid of knots under connected sum, modulo concordance relation, is called the kn...
Classically, the study of knots and links has proceeded topologically looking for features of knotte...
For this lecture, useful references include: Khovanov and Lauda, A diagrammatic approach to categori...
International audienceIt is conjectured that for each knot K in S-3, the fundamental group of its co...
The fundamental group of a knot complement is called a knot group. A way to present a knot groups ...
The fundamental group of a knot complement is called a knot group. A way to present a knot groups ...
textThis thesis investigates the topology and geometry of hyperbolic knot complements that are comme...
Abstract: I give my view of the early history of the discovery of hyper-bolic structures on knot com...
A n-knot group is the fundamental group of the complement of an n-sphere smoothly embedded in Sn+2. ...
We begin with an introduction to algebraic topology, knot theory, and SU(2) matrices as a subset of ...
We construct an invariant of 2-knots akin to the Jones polynomial of a knot. To achieve this, we ado...
Abstract. We find explicit models for the PSL2(C)- and SL2(C)-character varieties of the fundamental...
In this article we study a partial ordering on knots in S3 where K1 K2 if there is an epimorphism f...
ABSTRACT. If k: S 2-,S 4 is a 2-knot with group G-•,ri(S4-k(S2)) and if G is the fundamental group o...
The recent proof by Bigelow and Krammer that the braid groups are linear opens the possibility of ap...
DoctorThe abelian monoid of knots under connected sum, modulo concordance relation, is called the kn...
Classically, the study of knots and links has proceeded topologically looking for features of knotte...
For this lecture, useful references include: Khovanov and Lauda, A diagrammatic approach to categori...
International audienceIt is conjectured that for each knot K in S-3, the fundamental group of its co...
The fundamental group of a knot complement is called a knot group. A way to present a knot groups ...
The fundamental group of a knot complement is called a knot group. A way to present a knot groups ...
textThis thesis investigates the topology and geometry of hyperbolic knot complements that are comme...
Abstract: I give my view of the early history of the discovery of hyper-bolic structures on knot com...