Weaves modeled as geodesic links in thickened tori have isotopy classes and hyperbolicity determined from diagrams, and lack essential Conway spheres.
Hyperbolic links are not generic
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We show that if $K$ is a nontrivial knot then the proportion of satellites of $K$ among all of the prime non-split links of $n$ or fewer crossings does not converge to $0$ as $n$ approaches infinity. This implies in particular that the proportion of hyperbolic links among all of the prime non-split links of $n$ or fewer crossings does not converge to 1 as $n$ approaches infinity. We consider unoriented link types.
fields
math.GT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On Isotopies and hyperbolicity of weaves
Weaves modeled as geodesic links in thickened tori have isotopy classes and hyperbolicity determined from diagrams, and lack essential Conway spheres.