Polynomial knot invariants can often be used to define Vassiliev invariants on singu- lar knots. Here Vassiliev invariants form the Conway, Jones, HOMFLY, and Kauffman polynomials are explored. Also, some explanation is given about how symbols of the Jones and Conway polynomial can evaluated on suitable chord diagrams. These in- variants are further used to find expressions that are congruent modulo 2 to some low degree invariants derived from the Primitive Conway polynomial
The main objective of this thesis is to study invariants of knots and links. First, a minimal syste...
In the present thesis we consider polynomial knot invariants and their properties. We discuss a conn...
We consider the problem of distinguishing mutant knots using invariants of their satellites. We sho...
AbstractWe give a criterion to detect whether the derivatives of knot polynomials at a point are Vas...
The best known examples of Vassiliev invariants are the coefficients of a Jones-type polynomial expa...
. Three results are shown which demonstrate how Vassiliev invariants behave like polynomials. 0. In...
In this section we introduce the Jones polynomial a link invariant found by Vaughan Jones in 1984. L...
The Conant\u27s conjecture [7] which has foundation on the Conway polynomial and Vassiliev invariant...
AbstractIn this paper I present the Vassiliev invariant of degree 2 of a knot as a polynomial of deg...
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
A knot is a circle tied in the three dimensional space which can be deformed continuously. In order ...
By the theory of Vassiliev invariants, the knowledge of a certain algebra B, defined as generated by...
This report will spend the majority of its time discussing two polynomial invariants. First we will ...
A knot invariant called the Jones polynomial will be defined in two ways, as the Kauffman Bracket po...
Abstract. The theory of knot invariants of finite type (Vassiliev invariants) is described. These in...
The main objective of this thesis is to study invariants of knots and links. First, a minimal syste...
In the present thesis we consider polynomial knot invariants and their properties. We discuss a conn...
We consider the problem of distinguishing mutant knots using invariants of their satellites. We sho...
AbstractWe give a criterion to detect whether the derivatives of knot polynomials at a point are Vas...
The best known examples of Vassiliev invariants are the coefficients of a Jones-type polynomial expa...
. Three results are shown which demonstrate how Vassiliev invariants behave like polynomials. 0. In...
In this section we introduce the Jones polynomial a link invariant found by Vaughan Jones in 1984. L...
The Conant\u27s conjecture [7] which has foundation on the Conway polynomial and Vassiliev invariant...
AbstractIn this paper I present the Vassiliev invariant of degree 2 of a knot as a polynomial of deg...
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
A knot is a circle tied in the three dimensional space which can be deformed continuously. In order ...
By the theory of Vassiliev invariants, the knowledge of a certain algebra B, defined as generated by...
This report will spend the majority of its time discussing two polynomial invariants. First we will ...
A knot invariant called the Jones polynomial will be defined in two ways, as the Kauffman Bracket po...
Abstract. The theory of knot invariants of finite type (Vassiliev invariants) is described. These in...
The main objective of this thesis is to study invariants of knots and links. First, a minimal syste...
In the present thesis we consider polynomial knot invariants and their properties. We discuss a conn...
We consider the problem of distinguishing mutant knots using invariants of their satellites. We sho...