Add to ORKGAbstract.We first show that the three-variable bracket polynomial is an invariant for reduced, alternating links. We then try to find what the polynomial reveals about knots. We find that the polynomial gives the crossing number, a test for chirality, and in some cases, the twist number of a knot. The extreme degrees of d are also studied. Acknowledgements: I would like to thank Dr. Rollie Trapp for advising me on this project, providing suggestions for what to investigate, and helping to complete severa
Abstract. A triple crossing is a crossing in a projection of a knot or link that has three strands o...
AbstractWe will develop various methods, some are of geometric nature and some are of algebraic natu...
Abstract. Eisermann has shown that the Jones polynomial of a n-component ribbon link L ⊂ S3 is divid...
We first show that the three-variable bracket polynomial is an invariant for reduced, alternating li...
This report will spend the majority of its time discussing two polynomial invariants. First we will ...
9 pages, 2 figures, 4 tableaux.We compute the Kauffman bracket polynomial of the three-lead Turk's h...
In this MSc thesis, which deals with certain topics from knot theory, we will engage with the proble...
A knot is an embedding of a circle S1 into the three-dimensional sphere S3. A component link is an e...
International audienceWe study the degree of polynomial representations of knots. We give the lexico...
International audienceWe study the degree of polynomial representations of knots. We give the lexico...
AbstractBourgoin defined the notion of a twisted link which corresponds to a stable equivalence clas...
AbstractThe twisted Alexander polynomial of a knot is applied in three areas of knot theory: inverti...
This thesis presents an investigation of many known polynomial invariants of knots and links. Follow...
The Jones Polynomial is a specific knot invariant that can yield extremely useful information; howev...
The Jones Polynomial is a specific knot invariant that can yield extremely useful information; howev...
Abstract. A triple crossing is a crossing in a projection of a knot or link that has three strands o...
AbstractWe will develop various methods, some are of geometric nature and some are of algebraic natu...
Abstract. Eisermann has shown that the Jones polynomial of a n-component ribbon link L ⊂ S3 is divid...
We first show that the three-variable bracket polynomial is an invariant for reduced, alternating li...
This report will spend the majority of its time discussing two polynomial invariants. First we will ...
9 pages, 2 figures, 4 tableaux.We compute the Kauffman bracket polynomial of the three-lead Turk's h...
In this MSc thesis, which deals with certain topics from knot theory, we will engage with the proble...
A knot is an embedding of a circle S1 into the three-dimensional sphere S3. A component link is an e...
International audienceWe study the degree of polynomial representations of knots. We give the lexico...
International audienceWe study the degree of polynomial representations of knots. We give the lexico...
AbstractBourgoin defined the notion of a twisted link which corresponds to a stable equivalence clas...
AbstractThe twisted Alexander polynomial of a knot is applied in three areas of knot theory: inverti...
This thesis presents an investigation of many known polynomial invariants of knots and links. Follow...
The Jones Polynomial is a specific knot invariant that can yield extremely useful information; howev...
The Jones Polynomial is a specific knot invariant that can yield extremely useful information; howev...
Abstract. A triple crossing is a crossing in a projection of a knot or link that has three strands o...
AbstractWe will develop various methods, some are of geometric nature and some are of algebraic natu...
Abstract. Eisermann has shown that the Jones polynomial of a n-component ribbon link L ⊂ S3 is divid...