We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman\u27s state sum model for the Alexander polynomial using the language of dimers. By providing some additional structure we are able to extend this model to give a state sum formula for the twisted Alexander polynomial of a knot depending on a representation of the knot group
AbstractIn this paper, we describe the twisted Alexander polynomial of twist knots for nonabelian SL...
The Alexander Polynomial was the first knot polynomial invariant. These files provide tables of: A...
The multivariable Alexander polynomial (MVA) is a classical invariant of knots and links. We give a...
We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman\u27s state s...
A dimer model consists of all perfect matchings on a (bipartite) weighted signed graph, where the pr...
We investigate the twisted Alexander polynomial of a 2-bridge knot associated to a Fox coloring. For...
It has been shown that the twist number of a reduced alternating knot can be determined by summing c...
A knot is an embedding of a circle S1 into the three-dimensional sphere S3. A component link is an e...
A knot is a circle tied in the three dimensional space which can be deformed continuously. In order ...
In this present thesis, we study on the theory of knotoids that was introduced by V. Turaev in 2012,...
We present the new skein invariants of classical links, H [ H ] , K [ K ] and D [...
(Statement of Responsibility) by Jacob Price(Thesis) Thesis (B.A.) -- New College of Florida, 2018...
We frequently encounter knots in the flow of our daily life. Either we knot a tie or we tie a knot o...
Title: Alexander polynomial Author: Ľubica Jančová Department: Department of Algebra Supervisor: doc...
This note gives an explicit calculation of the doubly infinite sequence Δ(p, q, 2m), m ∈ Z of Alexa...
AbstractIn this paper, we describe the twisted Alexander polynomial of twist knots for nonabelian SL...
The Alexander Polynomial was the first knot polynomial invariant. These files provide tables of: A...
The multivariable Alexander polynomial (MVA) is a classical invariant of knots and links. We give a...
We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman\u27s state s...
A dimer model consists of all perfect matchings on a (bipartite) weighted signed graph, where the pr...
We investigate the twisted Alexander polynomial of a 2-bridge knot associated to a Fox coloring. For...
It has been shown that the twist number of a reduced alternating knot can be determined by summing c...
A knot is an embedding of a circle S1 into the three-dimensional sphere S3. A component link is an e...
A knot is a circle tied in the three dimensional space which can be deformed continuously. In order ...
In this present thesis, we study on the theory of knotoids that was introduced by V. Turaev in 2012,...
We present the new skein invariants of classical links, H [ H ] , K [ K ] and D [...
(Statement of Responsibility) by Jacob Price(Thesis) Thesis (B.A.) -- New College of Florida, 2018...
We frequently encounter knots in the flow of our daily life. Either we knot a tie or we tie a knot o...
Title: Alexander polynomial Author: Ľubica Jančová Department: Department of Algebra Supervisor: doc...
This note gives an explicit calculation of the doubly infinite sequence Δ(p, q, 2m), m ∈ Z of Alexa...
AbstractIn this paper, we describe the twisted Alexander polynomial of twist knots for nonabelian SL...
The Alexander Polynomial was the first knot polynomial invariant. These files provide tables of: A...
The multivariable Alexander polynomial (MVA) is a classical invariant of knots and links. We give a...