The purpose of this article is to give a survey of the present impact of the Jones polynomial on the theory of knots and links. A link L with c(L) components in the three-sphere S3 is a smooth submanifold that consists of c(L) disjoint simple closed curves. A link of one component is called a knot. Two links are equivalent if one ca
Let L be a link in S3 which has a prime period and L * be its factor link. Several relationships bet...
In this MSc thesis, which deals with certain topics from knot theory, we will engage with the proble...
In the three main sections of this thesis (chapters II, III, and IV; chapter I consists of definitio...
The Jones polynomial is a well-defined invariant of virtual links. We observe the effect of a genera...
This report will spend the majority of its time discussing two polynomial invariants. First we will ...
Abstract. J.P. Levine showed that the Conway polynomial of a link is a product of two factors: one i...
none3noWe analyze different representations of knots and links in lens spaces, as disk diagrams, gri...
In this section we introduce the Jones polynomial a link invariant found by Vaughan Jones in 1984. L...
AbstractMorton and Franks–Williams independently gave a lower bound for the braid index b(L) of a li...
Measuring the entanglement complexity of collections of open curves in 3-space has been an intractab...
AbstractResults of Kirillov and Reshetikhin on constructing invariants of framed links from the quan...
Determining when two links are equivalent is one of the central goals of knot theory. This paper des...
For every n–component ribbon link L we prove that the Jones polynomial V.L/ is divisible by the poly...
AbstractFormal linear algebra associated to tangles is used to analyse both of the two-variable poly...
Results of Kirillov and Reshetikhin on constructing invariants of framed links from the quantum grou...
Let L be a link in S3 which has a prime period and L * be its factor link. Several relationships bet...
In this MSc thesis, which deals with certain topics from knot theory, we will engage with the proble...
In the three main sections of this thesis (chapters II, III, and IV; chapter I consists of definitio...
The Jones polynomial is a well-defined invariant of virtual links. We observe the effect of a genera...
This report will spend the majority of its time discussing two polynomial invariants. First we will ...
Abstract. J.P. Levine showed that the Conway polynomial of a link is a product of two factors: one i...
none3noWe analyze different representations of knots and links in lens spaces, as disk diagrams, gri...
In this section we introduce the Jones polynomial a link invariant found by Vaughan Jones in 1984. L...
AbstractMorton and Franks–Williams independently gave a lower bound for the braid index b(L) of a li...
Measuring the entanglement complexity of collections of open curves in 3-space has been an intractab...
AbstractResults of Kirillov and Reshetikhin on constructing invariants of framed links from the quan...
Determining when two links are equivalent is one of the central goals of knot theory. This paper des...
For every n–component ribbon link L we prove that the Jones polynomial V.L/ is divisible by the poly...
AbstractFormal linear algebra associated to tangles is used to analyse both of the two-variable poly...
Results of Kirillov and Reshetikhin on constructing invariants of framed links from the quantum grou...
Let L be a link in S3 which has a prime period and L * be its factor link. Several relationships bet...
In this MSc thesis, which deals with certain topics from knot theory, we will engage with the proble...
In the three main sections of this thesis (chapters II, III, and IV; chapter I consists of definitio...