3 papers
math.GT2026
Hyperbolicity of Staked Links and Lower Bounds on Their Volumes
Colin Adams, Francisco Gomez-Paz, Jiachen Kang +1
We define a class of links in handlebodies called ``charm bracelets," which are a subset of staked links. We provide tools to construct infinitely many such hyperbolic links and bo…
math.GT2025
Hyperbolic Handlebody Complements in 3-Manifolds
Colin Adams, Francisco Gomez-Paz, Jiachen Kang +4
Let be a compact and orientable 3-manifold. After capping off spherical boundaries with balls and removing any torus boundaries, we prove that the resulting manifold cont…
math.GT2025
Hyperbolicity and Volume of Hyperbolic Bongles
Colin Adams, Francisco Gomez-Paz, Jiachen Kang +5
We consider a simple but infinite class of staked links known as bongles. We provide necessary and sufficient conditions for these bongles to be hyperbolic. Then, we prove that all…