3 papers
math.GT2026
Non-trivialization probability of arc system in three-dimensional space
Akio Kawauchi
The type-specific knotting probability of an arc diagram is earlier defined by using chord diagrams of ribbon surface-links in 4D space. By modifying this notion, Non-Trivializatio…
math.GT2025
Alternative proof of the ribbonness on classical link
Akio Kawauchi
Alternative proof is given for an earlier presented result that if a link in 3-space bounds a compact oriented proper surface (without closed component) in the upper half 4-space,…
math.GT2024
Another proof of free ribbon lemma
Akio Kawauchi
Free ribbon lemma that every free sphere-link in the 4-sphere is a ribbon sphere-link is shown in an earlier paper by the author. In this paper, another proof of this lemma is give…