Add to ORKGGiven a link in a 3-manifold such that the complement is hyperbolic, we provide two modifications to the link, called the chain move and the switch move, that preserve hyperbolicity of the complement, with only a relatively small number of manifold-link pair exceptions, which are also classified. These modifications provide a substantial increase in the number of known hyperbolic links in the 3-sphere and other 3-manifolds.Comment: Added author addresses and reference ArXiv numbe
The Geometrization Theorem for 3-manifolds states that every closed orientable 3-manifold can be cut...
The Geometrization Theorem for 3-manifolds states that every closed orientable 3-manifold can be cut...
The Geometrization Theorem for 3-manifolds states that every closed orientable 3-manifold can be cut...
Given a link in a 3-manifold such that the complement is hyperbolic, we provide two modifications to...
We give a straightforward method that helps recognize when a noncompact hyperbolic 3-manifold is a l...
For a hyperbolic link K in the thickened torus with no bigons, we show that there is a decomposition...
As a result of Thurston\u27s Hyperbolization Theorem, many 3-manifolds have a hyperbolic metric or c...
As a result of Thurston\u27s Hyperbolization Theorem, many 3-manifolds have a hyperbolic metric or c...
Since the 1980s, it has been known that essential surfaces in alternating link complements can be is...
In 2013, Chesebro and DeBlois constructed a certain family of hyperbolic links whose complements hav...
Dedicated to Prof. Taizo Kanenobu, Makoto Sakuma, Yasutaka Nakanishi on their 60-th birthda
We give a nearly complete solution of the problem of how many different knots and links in the 3-sph...
We give a complete list of hyperbolic two-bridge links which can admit complete exceptional surgerie...
In this paper, we show that any nonarithmetic hyperbolic 2-bridge link complement admits no hidden s...
Let $F$ be a compact orientable surface with nonempty boundary other than a disk. Let $L$ be a link ...
The Geometrization Theorem for 3-manifolds states that every closed orientable 3-manifold can be cut...
The Geometrization Theorem for 3-manifolds states that every closed orientable 3-manifold can be cut...
The Geometrization Theorem for 3-manifolds states that every closed orientable 3-manifold can be cut...
Given a link in a 3-manifold such that the complement is hyperbolic, we provide two modifications to...
We give a straightforward method that helps recognize when a noncompact hyperbolic 3-manifold is a l...
For a hyperbolic link K in the thickened torus with no bigons, we show that there is a decomposition...
As a result of Thurston\u27s Hyperbolization Theorem, many 3-manifolds have a hyperbolic metric or c...
As a result of Thurston\u27s Hyperbolization Theorem, many 3-manifolds have a hyperbolic metric or c...
Since the 1980s, it has been known that essential surfaces in alternating link complements can be is...
In 2013, Chesebro and DeBlois constructed a certain family of hyperbolic links whose complements hav...
Dedicated to Prof. Taizo Kanenobu, Makoto Sakuma, Yasutaka Nakanishi on their 60-th birthda
We give a nearly complete solution of the problem of how many different knots and links in the 3-sph...
We give a complete list of hyperbolic two-bridge links which can admit complete exceptional surgerie...
In this paper, we show that any nonarithmetic hyperbolic 2-bridge link complement admits no hidden s...
Let $F$ be a compact orientable surface with nonempty boundary other than a disk. Let $L$ be a link ...
The Geometrization Theorem for 3-manifolds states that every closed orientable 3-manifold can be cut...
The Geometrization Theorem for 3-manifolds states that every closed orientable 3-manifold can be cut...
The Geometrization Theorem for 3-manifolds states that every closed orientable 3-manifold can be cut...