3 papers
math.GT2024
Note on surface-link of trivial components
Akio Kawauchi
As a previous result, it has shown that every sphere-link consisting of trivial components is a ribbon sphere-link. In this note, it is shown that for every closed oriented disconn…
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…
math.GT2024
Classifying the surface-knot modules
Akio Kawauchi
The th module of a surface-knot of a genus in the 4-sphere is the th integral homology module of the infinite cyclic covering of the surface-knot complement. The reduced…