We recover the Jones polynomials of knots and links from the K-theory of a cluster C*-algebra of the sphere with two cusps. In particular, an interplay between the Chebyshev and Jones polynomials is studied.Comment: 8 pages, 3 figure
AbstractFormal linear algebra associated to tangles is used to analyse both of the two-variable poly...
AbstractA NEW combinatorial formulation of the Jones polynomial of a link is used to establish some ...
We study the asymptotic behavior of the $N$-dimensional colored Jones polynomial of the figure-eight...
A knot invariant called the Jones polynomial will be defined in two ways, as the Kauffman Bracket po...
In this section we introduce the Jones polynomial a link invariant found by Vaughan Jones in 1984. L...
In [2] Armond showed that the heads and tails of the colored Jones polynomial exist for adequate lin...
It is well known that the Kauffman Bracket Skein Module of a knot complement K_q(S^3 \ K) is canonic...
We formulate a conjecture about the structure of the Kontsevich integral of a knot. We describe its ...
AbstractWe formulate a conjecture about the structure of the Kontsevich integral of a knot. We descr...
AbstractIn this paper we use the orientation of a link to introduce an additional structure on Kauff...
We give an alternate expansion of the colored Jones polynomial of a pretzel link which recovers the ...
We frequently encounter knots in the flow of our daily life. Either we knot a tie or we tie a knot o...
Both the Alexander polynomial and the colored Jones polynomial are well-known knot invariants. While...
We discuss the Jones-Conway polynomial, also known as Homfly polynomial. It is a knot invari-ant, an...
This dissertation has two parts, each motivated by an open problem related to the Jones polynomial. ...
AbstractFormal linear algebra associated to tangles is used to analyse both of the two-variable poly...
AbstractA NEW combinatorial formulation of the Jones polynomial of a link is used to establish some ...
We study the asymptotic behavior of the $N$-dimensional colored Jones polynomial of the figure-eight...
A knot invariant called the Jones polynomial will be defined in two ways, as the Kauffman Bracket po...
In this section we introduce the Jones polynomial a link invariant found by Vaughan Jones in 1984. L...
In [2] Armond showed that the heads and tails of the colored Jones polynomial exist for adequate lin...
It is well known that the Kauffman Bracket Skein Module of a knot complement K_q(S^3 \ K) is canonic...
We formulate a conjecture about the structure of the Kontsevich integral of a knot. We describe its ...
AbstractWe formulate a conjecture about the structure of the Kontsevich integral of a knot. We descr...
AbstractIn this paper we use the orientation of a link to introduce an additional structure on Kauff...
We give an alternate expansion of the colored Jones polynomial of a pretzel link which recovers the ...
We frequently encounter knots in the flow of our daily life. Either we knot a tie or we tie a knot o...
Both the Alexander polynomial and the colored Jones polynomial are well-known knot invariants. While...
We discuss the Jones-Conway polynomial, also known as Homfly polynomial. It is a knot invari-ant, an...
This dissertation has two parts, each motivated by an open problem related to the Jones polynomial. ...
AbstractFormal linear algebra associated to tangles is used to analyse both of the two-variable poly...
AbstractA NEW combinatorial formulation of the Jones polynomial of a link is used to establish some ...
We study the asymptotic behavior of the $N$-dimensional colored Jones polynomial of the figure-eight...