Add to ORKGThe purpose of this project is to explore the subject of knot theory. We consider knot invariants, in particular the Alexander polynomial which we show to be well defined and invariant and also the Alexander-Conway polynomial. We discuss both alternating and non-alternating knots in relation to such invariants. The main part of the paper concerns Celtic knots; their construction and the proofs that Celtic knots are alternating, and that alternating knots are Celtic. Finally we investigate another example of mathematical knots in art, the Brunnian links. Summar
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
Abstract. We introduce a new invariant of tangles along with an algebraic framework in which to unde...
We explore the Alexander polynomial for a knot. We prove that an arbi-trary reciprocal polynomial wi...
Title: Alexander polynomial Author: Ľubica Jančová Department: Department of Algebra Supervisor: doc...
A knot is an embedding of a circle S1 into the three-dimensional sphere S3. A component link is an e...
In this MSc thesis, which deals with certain topics from knot theory, we will engage with the proble...
This report will spend the majority of its time discussing two polynomial invariants. First we will ...
Graduation date: 2013The Alexander polynomial is a well understood classical knot invariant with int...
Abstract. The Alexander polynomial is the very rst polynomial knot invariant discovered. In this exp...
(Statement of Responsibility) by Jacob Price(Thesis) Thesis (B.A.) -- New College of Florida, 2018...
We introduce a new invariant of tangles along with an algebraic framework in which to understand it....
AbstractIn the previous paper, the author gave linear inequalities on the coefficients of the Alexan...
AbstractThe twisted Alexander polynomial of a knot is applied in three areas of knot theory: inverti...
This chapter gives an expository account of some unexpected connections which have arisen over the l...
In the three main sections of this thesis (chapters II, III, and IV; chapter I consists of definitio...
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
Abstract. We introduce a new invariant of tangles along with an algebraic framework in which to unde...
We explore the Alexander polynomial for a knot. We prove that an arbi-trary reciprocal polynomial wi...
Title: Alexander polynomial Author: Ľubica Jančová Department: Department of Algebra Supervisor: doc...
A knot is an embedding of a circle S1 into the three-dimensional sphere S3. A component link is an e...
In this MSc thesis, which deals with certain topics from knot theory, we will engage with the proble...
This report will spend the majority of its time discussing two polynomial invariants. First we will ...
Graduation date: 2013The Alexander polynomial is a well understood classical knot invariant with int...
Abstract. The Alexander polynomial is the very rst polynomial knot invariant discovered. In this exp...
(Statement of Responsibility) by Jacob Price(Thesis) Thesis (B.A.) -- New College of Florida, 2018...
We introduce a new invariant of tangles along with an algebraic framework in which to understand it....
AbstractIn the previous paper, the author gave linear inequalities on the coefficients of the Alexan...
AbstractThe twisted Alexander polynomial of a knot is applied in three areas of knot theory: inverti...
This chapter gives an expository account of some unexpected connections which have arisen over the l...
In the three main sections of this thesis (chapters II, III, and IV; chapter I consists of definitio...
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
Abstract. We introduce a new invariant of tangles along with an algebraic framework in which to unde...
We explore the Alexander polynomial for a knot. We prove that an arbi-trary reciprocal polynomial wi...