On the Volume Density Spectrum of Fully Augmented Links

2024/08/13 by Alice Kwon, Kwon, Alice, Ying Hong Tham +1
Engineering · #3D IC and TSV technologies #Advanced Fiber Optic Sensors #FOS: Mathematics #Geometric Topology (math.GT) #Primary 57K10 #Secondary 57K32 #Semiconductor Lasers and Optical Devices

paper · pdf · doi:10.48550/arxiv.2408.06565

openalex publication_date 2024/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

For a hyperbolic fully augmented link in S³, its FAL volume density is the ratio of its volume to the number of augmentations. We show that the set of FAL volume densities is dense in [2\voct, 10\vtet), but discrete in [\voct,2\voct).

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