We show that the volumes of certain hyperbolic A-adequate links can be bounded (above and) below in terms of two diagrammatic quantities: the twist number and the number of certain alternating tangles in an A-adequate diagram. We then restrict our attention to plat closures of certain braids, a rich family of links whose volumes can be bounded in terms of the twist number alone. Furthermore, in the absence of special tangles, our volume bounds can be expressed in terms of a single stable coefficient of the colored Jones polynomials. Consequently, we are able to provide a new collection of links that satisfy a Coarse Volume Conjecture.
The optimistic limit of the colored Jones polynomial and the volume calculation JINSEOK CHO We discu...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
In the 1970s, Williams developed an algorithm that has been used to construct modular links. We intr...
In a previous paper ([14]), the author was able to show that the volumes of certain hyperbolic semi-...
If a hyperbolic link has a prime alternating diagram D, then we show that the link complement's volu...
In this thesis we discuss the volume conjecture and explicitly develop the necessary background in k...
The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the t...
Abstract. In recent years, several families of hyperbolic knots have been shown to have both volume ...
Abstract. We give a refined upper bound for the hyperbolic volume of an alternating link in terms of...
Abstract In recent years, several families of hyperbolic knots have been shown to have both volume a...
The hyperbolic volume of a link complement is known to be unchanged when a half-twist is added to a ...
We propose to generalize the volume conjecture to knotted trivalent graphs and we prove the conjectu...
Abstract. The ratio of volume to crossing number of a hyperbolic knot is known to be bounded above b...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
We describe a model of random links based on random 4-valent maps, which can be sampled due to the w...
The optimistic limit of the colored Jones polynomial and the volume calculation JINSEOK CHO We discu...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
In the 1970s, Williams developed an algorithm that has been used to construct modular links. We intr...
In a previous paper ([14]), the author was able to show that the volumes of certain hyperbolic semi-...
If a hyperbolic link has a prime alternating diagram D, then we show that the link complement's volu...
In this thesis we discuss the volume conjecture and explicitly develop the necessary background in k...
The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the t...
Abstract. In recent years, several families of hyperbolic knots have been shown to have both volume ...
Abstract. We give a refined upper bound for the hyperbolic volume of an alternating link in terms of...
Abstract In recent years, several families of hyperbolic knots have been shown to have both volume a...
The hyperbolic volume of a link complement is known to be unchanged when a half-twist is added to a ...
We propose to generalize the volume conjecture to knotted trivalent graphs and we prove the conjectu...
Abstract. The ratio of volume to crossing number of a hyperbolic knot is known to be bounded above b...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
We describe a model of random links based on random 4-valent maps, which can be sampled due to the w...
The optimistic limit of the colored Jones polynomial and the volume calculation JINSEOK CHO We discu...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
In the 1970s, Williams developed an algorithm that has been used to construct modular links. We intr...