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math.GT2016
Bipyramid Decompositions of Multi-crossing Link Complements
Colin Adams, Gregory Kehne
Generalizing previous constructions, we present a dual pair of decompositions of the complement of a link L into bipyramids, given any multi-crossing projection of L. When L is hyp…
math.GT2016
Generalized bipyramids and hyperbolic volumes of tiling links
Colin Adams, Aaron Calderon, Xinyi Jiang +4
We present explicit geometric decompositions of the complement of tiling links, which are alternating links whose projection graphs are uniform tilings of the 2-sphere, the Euclide…
math.GT2015
Volume and Determinant Densities of Hyperbolic Rational Links
Colin Adams, Aaron Calderon, Xinyi Jiang +4
The volume density of a hyperbolic link is defined as the ratio of hyperbolic volume to crossing number. We study its properties and a closely-related invariant called the determin…