2023/09/10 by Colin Adams, Adams, Colin, Joye Chen +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #57K32 #Cellular Mechanics and Interactions #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2309.04999
openalex publication_date 2023/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let F be a compact orientable surface with nonempty boundary other than a disk. Let L be a link in F × I with a connected weakly prime cellular alternating projection to F. We provide simple conditions that determine exactly when (F × I) ∖ N(L) is hyperbolic. We also consider suitable embeddings of F × I in an ambient manifold Y with boundary and provide conditions on links L ⊂ F × I which guarantee tg-hyperbolicity of Y ∖ N(L). These results provide many examples of hyperbolic links in handlebodies and fiber bundles. It also provides many examples of staked links that are hyperbolic.