We give an alternate expansion of the colored Jones polynomial of a pretzel link which recovers the degree formula in Garoufalidis et al. (Internat. J. Math.31(7):66, 2020). As an application, we determine the degrees of the colored Jones polynomials of a new family of 3-tangle pretzel knots
In this note we give a closed-form formula for the Kauff-man bracket of pretzel links. In particular...
AbstractWe study relationships between the colored Jones polynomial and the A-polynomial of a knot. ...
v2: 30 pages, Added two applications: 1) A proof of q-holonomy for ADO polynomials ; 2) A connection...
We give an alternate expansion of the colored Jones polynomial of a pretzel link which recovers the ...
The colored Jones polynomial assigns to each knot a sequence of Laurent polynomials. This dissertati...
AbstractA very simple expression is conjectured for arbitrary colored Jones and HOMFLY polynomials o...
This dissertation studies the colored Jones polynomial of knots and links, colored by representation...
Abstract. We derive a formula for the colored Jones polynomial of 2-bridge knots. For a twist knot, ...
Abstract. We use the colored Jones link polynomials to extract an invariant that detects semi-adequa...
Abstract. We study q-holonomic sequences that arise as the colored Jones polynomial of knots in 3-sp...
We prove that the coefficients of the colored Jones polynomial of alternating links stabilize under ...
In this paper, we define a family of links which are similar to but more complex than Pretzel links....
Abstract. The extreme degrees of the colored Jones polynomial of any link are bounded in terms of co...
Abstract. We study the head and tail of the colored Jones polynomial while focusing mainly on altern...
In [2] Armond showed that the heads and tails of the colored Jones polynomial exist for adequate lin...
In this note we give a closed-form formula for the Kauff-man bracket of pretzel links. In particular...
AbstractWe study relationships between the colored Jones polynomial and the A-polynomial of a knot. ...
v2: 30 pages, Added two applications: 1) A proof of q-holonomy for ADO polynomials ; 2) A connection...
We give an alternate expansion of the colored Jones polynomial of a pretzel link which recovers the ...
The colored Jones polynomial assigns to each knot a sequence of Laurent polynomials. This dissertati...
AbstractA very simple expression is conjectured for arbitrary colored Jones and HOMFLY polynomials o...
This dissertation studies the colored Jones polynomial of knots and links, colored by representation...
Abstract. We derive a formula for the colored Jones polynomial of 2-bridge knots. For a twist knot, ...
Abstract. We use the colored Jones link polynomials to extract an invariant that detects semi-adequa...
Abstract. We study q-holonomic sequences that arise as the colored Jones polynomial of knots in 3-sp...
We prove that the coefficients of the colored Jones polynomial of alternating links stabilize under ...
In this paper, we define a family of links which are similar to but more complex than Pretzel links....
Abstract. The extreme degrees of the colored Jones polynomial of any link are bounded in terms of co...
Abstract. We study the head and tail of the colored Jones polynomial while focusing mainly on altern...
In [2] Armond showed that the heads and tails of the colored Jones polynomial exist for adequate lin...
In this note we give a closed-form formula for the Kauff-man bracket of pretzel links. In particular...
AbstractWe study relationships between the colored Jones polynomial and the A-polynomial of a knot. ...
v2: 30 pages, Added two applications: 1) A proof of q-holonomy for ADO polynomials ; 2) A connection...