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arXiv · 2104.12637

Hyperbolicity of Brunnian links

Sheng Bai
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Abstract

We present new techniques to show hyperbolicity of links based on geometric/combinatorial topology. Our techniques are applicable to links that have at least one unknotted component. In particular, they are applicable to Brunnian links. We illustrate our techniques on many examples of Brunnian links. In fact, we determine hyperbolicity for all Brunnian links found in literature. In particular, we discover many infinite families of hyperbolic Brunnian links.

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Sheng Bai. 2025-08-17. Hyperbolicity of Brunnian links. https://arxiv.org/abs/2104.12637

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