3 papers
math.GT2025
Divides with cusps, shadows, and transvergent diagrams
Ryoga Furutani
A link in is called a symmetric link if it is preserved by a rotation around a closed geodesic in . Any symmetric link can be depicted by a diagram with a symmet…
math.GT2023
Divides and hyperbolic volumes
Ryoga Furutani, Yuya Koda
A divide is the image of a proper and generic immersion of a compact -manifold into the -disk. Due to A'Campo's theory, each divide is associated with a link in the 3-sphere.…
math.GT2021
Stable maps and hyperbolic links
Ryoga Furutani, Yuya Koda
A stable map of a closed orientable -manifold into the real plane is called a stable map of a link in the manifold if the link is contained in the set of definite fold points. W…