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math.GT2026
A relationship between the Kauffman bracket skein algebras and Roger-Yang skein algebras of some small surfaces
Chloe Marple, Helen Wong
We calculate the Roger-Yang skein algebra of the annulus with two interior punctures, , and show there is a surjective homomorphism from this algebr…
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…