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math.GR2024
A note on the pure cactus group of degree three and the configuration space of four points on the circle
Takatoshi Hama, Kazuhiro Ichihara
The cactus group was introduced by Henriques and Kamnitzer as an analogue of the braid group. In this note, we provide an explicit description of the relationship between the pure…
math.GT2024
On two-bridge ribbon knots
Sayo Horigome, Kazuhiro Ichihara
We show that a two-bridge ribbon knot with and admits a symmetric union presentation with partial knot which is a two-bridge knot …