Hyperbolicity and Volume of Hyperbolic Bongles
Geometric Topology
2025-01-07 v1
Abstract
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 balanced hyperbolic -bongles have the same volume and the corresponding volume is an upper bound on the volume of any hyperbolic -bongle for even. Moreover, all hyperbolic -bongles have volume strictly less than . We also include explicit volume calculations for all hyperbolic 3-bongles through 6-bongles.
Keywords
Cite
@article{arxiv.2501.02360,
title = {Hyperbolicity and Volume of Hyperbolic Bongles},
author = {Colin Adams and Francisco Gomez-Paz and Jiachen Kang and Lukas Krause and Gregory Li and Reyna Li and Chloe Marple and Ziwei Tan},
journal= {arXiv preprint arXiv:2501.02360},
year = {2025}
}
Comments
16 pages, 11 figures