Add to ORKGWe exhibit an algorithm to determine the bridge number of a hyperbolic knot in the 3-sphere. The proof uses adaptations of almost normal surface theory for compact surfaces with boundary in ideally triangulated knot exteriors
It is conjectured that a hyperbolic knot complement does not contain a closed embedded totally geode...
The work of Jørgensen and Thurston shows that there is a finite number N(v) of orientable hyperbolic...
In this thesis, we develop algorithms in computational topology for working with regular CW-complexe...
We exhibit an algorithm to determine the bridge number of a hyperbolic knot in the 3-sphere...
We show that if K is a knot in S3 and † is a bridge sphere for K with high distance and 2n punctures...
We present a new, practical algorithm to test whether a knot complement contains a closed essential ...
Abstract. We present a new, practical algorithm to test whether a knot comple-ment contains a closed...
ABSTRACT. In this paper we will consider the number of minimal surfaces which do not touch all of a ...
We introduce a new real-valued invariant called the natural slope of a hyperbolic knot in the 3-sphe...
We give a detailed presentation of the first example of hyperbolization of a knot complement, due to...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
Il manque le début de la conférenceI will describe work in progress, parts of which are joint with M...
We extend normal surface Q-theory developed in compact triangulated 3-manifolds to some non-compact ...
Abstract. We calculate the bridge distance for m-bridge knots/links in the 3-sphere with sufficientl...
Due to the Hyperbolization Theorem, we know precisely when does a given compact three dimensional ma...
It is conjectured that a hyperbolic knot complement does not contain a closed embedded totally geode...
The work of Jørgensen and Thurston shows that there is a finite number N(v) of orientable hyperbolic...
In this thesis, we develop algorithms in computational topology for working with regular CW-complexe...
We exhibit an algorithm to determine the bridge number of a hyperbolic knot in the 3-sphere...
We show that if K is a knot in S3 and † is a bridge sphere for K with high distance and 2n punctures...
We present a new, practical algorithm to test whether a knot complement contains a closed essential ...
Abstract. We present a new, practical algorithm to test whether a knot comple-ment contains a closed...
ABSTRACT. In this paper we will consider the number of minimal surfaces which do not touch all of a ...
We introduce a new real-valued invariant called the natural slope of a hyperbolic knot in the 3-sphe...
We give a detailed presentation of the first example of hyperbolization of a knot complement, due to...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
Il manque le début de la conférenceI will describe work in progress, parts of which are joint with M...
We extend normal surface Q-theory developed in compact triangulated 3-manifolds to some non-compact ...
Abstract. We calculate the bridge distance for m-bridge knots/links in the 3-sphere with sufficientl...
Due to the Hyperbolization Theorem, we know precisely when does a given compact three dimensional ma...
It is conjectured that a hyperbolic knot complement does not contain a closed embedded totally geode...
The work of Jørgensen and Thurston shows that there is a finite number N(v) of orientable hyperbolic...
In this thesis, we develop algorithms in computational topology for working with regular CW-complexe...