This paper completes a classification of the types of orientable and non-orientable cusps that can arise in the quotients of hyperbolic knot complements. In particular, S2(2,4,4) cannot be the cusp cross-section of any orbifold quotient of a hyperbolic knot complement. Furthermore, if a knot complement covers an orbifold with a S2(2,3,6) cusp, it also covers an orbifold with a S2(3,3,3) cusp. We end with a discussion that shows all cusp types arise in the quotients of link complements.Mathematic
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
In this paper we prove that if MK is the complement of a non-fibered twist knot K in S3, then MK is ...
This paper exhibits an infinite family of hyperbolic knot complements that have three knot complemen...
textThis thesis investigates the topology and geometry of hyperbolic knot complements that are comme...
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...
We investigate commensurability classes of hyperbolic knot complements in the generic case of knots ...
There are six orientable, compact, flat 3-manifolds that can occur as cusp cross-sections of hyperbo...
In this paper, we show that any nonarithmetic hyperbolic 2-bridge link complement admits no hidden s...
In 2013, Chesebro and DeBlois constructed a certain family of hyperbolic links whose complements hav...
21 pages, 3 figuresIn this article we examine the conjecture of Neumann and Reid that the only hyper...
Dedicated to Prof. Taizo Kanenobu, Makoto Sakuma, Yasutaka Nakanishi on their 60-th birthda
Abstract. Two examples of topological embeddings of S2 in S4 are constructed. The first has the unus...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
In this paper we prove that if MK is the complement of a non-fibered twist knot K in S3, then MK is ...
This paper exhibits an infinite family of hyperbolic knot complements that have three knot complemen...
textThis thesis investigates the topology and geometry of hyperbolic knot complements that are comme...
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...
We investigate commensurability classes of hyperbolic knot complements in the generic case of knots ...
There are six orientable, compact, flat 3-manifolds that can occur as cusp cross-sections of hyperbo...
In this paper, we show that any nonarithmetic hyperbolic 2-bridge link complement admits no hidden s...
In 2013, Chesebro and DeBlois constructed a certain family of hyperbolic links whose complements hav...
21 pages, 3 figuresIn this article we examine the conjecture of Neumann and Reid that the only hyper...
Dedicated to Prof. Taizo Kanenobu, Makoto Sakuma, Yasutaka Nakanishi on their 60-th birthda
Abstract. Two examples of topological embeddings of S2 in S4 are constructed. The first has the unus...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
In this paper we prove that if MK is the complement of a non-fibered twist knot K in S3, then MK is ...