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math.GT2025
Generalization of the Thistlethwaite--Tsvietkova Method
Alice Kwon, Byungdo Park, Ying Hong Tham
Thurston's equations determine the hyperbolic structure of a 3-manifold with a triangulation. In work by Thistlethwaite and Tsvietkova, an alternative method was developed for link…
math.GT2024
On the Volume Density Spectrum of Fully Augmented Links
Alice Kwon, Ying Hong Tham
For a hyperbolic fully augmented link in , its \emph{FAL volume density} is the ratio of its volume to the number of augmentations. We show that the set of FAL volume densitie…