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knotBook
commensurableWork
textThis thesis investigates the topology and geometry of hyperbolic knot complements that are commensurable with other knot complements. In chapter 3, we provide an infinite family examples of hyperbolic knot complements commensurable with exactly two other knot complements. In chapter 4, we exhibit an obstruction to knot complements admitting exceptional surgeries in conjunction with hidden symmetries. Finally, in chapter 5, we discuss the role of surfaces embedded in 3-orbifolds as it relates to hidden symmetries.Mathematic
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
AbstractThis paper explicitly provides two exhaustive and infinite families of pairs (M,k), where M ...
The study of 3-manifold groups has reached big success in the last few decades, with the proof of ge...
This paper exhibits an infinite family of hyperbolic knot complements that have three knot complemen...
21 pages, 3 figuresIn this article we examine the conjecture of Neumann and Reid that the only hyper...
In this paper we analyze symmetries, hidden symmetries, and commensurability classes of (ϵ,dL)-twist...
In this paper, we show that any nonarithmetic hyperbolic 2-bridge link complement admits no hidden s...
We give a detailed presentation of the first example of hyperbolization of a knot complement, due to...
We investigate commensurability classes of hyperbolic knot complements in the generic case of knots ...
This paper provides two obstructions to small knot complements in S3 admitting hidden symmetries. Th...
An isometry h between two finite degree covers of a hyperbolic 3-manifold M is called a hidden symme...
In this paper, we explicitly construct large classes of incommensurable hyperbolic knot complements ...
This paper completes a classification of the types of orientable and non-orientable cusps that can a...
It is conjectured that a hyperbolic knot complement does not contain a closed embedded totally geode...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
AbstractThis paper explicitly provides two exhaustive and infinite families of pairs (M,k), where M ...
The study of 3-manifold groups has reached big success in the last few decades, with the proof of ge...
This paper exhibits an infinite family of hyperbolic knot complements that have three knot complemen...
21 pages, 3 figuresIn this article we examine the conjecture of Neumann and Reid that the only hyper...
In this paper we analyze symmetries, hidden symmetries, and commensurability classes of (ϵ,dL)-twist...
In this paper, we show that any nonarithmetic hyperbolic 2-bridge link complement admits no hidden s...
We give a detailed presentation of the first example of hyperbolization of a knot complement, due to...
We investigate commensurability classes of hyperbolic knot complements in the generic case of knots ...
This paper provides two obstructions to small knot complements in S3 admitting hidden symmetries. Th...
An isometry h between two finite degree covers of a hyperbolic 3-manifold M is called a hidden symme...
In this paper, we explicitly construct large classes of incommensurable hyperbolic knot complements ...
This paper completes a classification of the types of orientable and non-orientable cusps that can a...
It is conjectured that a hyperbolic knot complement does not contain a closed embedded totally geode...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
AbstractThis paper explicitly provides two exhaustive and infinite families of pairs (M,k), where M ...
The study of 3-manifold groups has reached big success in the last few decades, with the proof of ge...
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