From the 2 of 6 linked papers with an AI index.
6 papers
Fusion of boundary surface-link and ribbonness
Akio Kawauchi
The paper proves that a boundary surface‑link in the 4‑sphere is a ribbon surface‑link if performing surgery along a pairwise surgically nontrivial fusion 1‑handle system results i…
Quasi-ribbon but non-ribbon surface-link of trivial components
Akio Kawauchi
The paper defines quasi-equivalence for surface-links and introduces quasi-ribbon surface-links, proving that trivial-component surface-links are quasi-ribbon when they have at mos…
Orthogonal 2-sphere basis of stable 4-sphere
Akio Kawauchi
Every stable 4-sphere is identified with the double branched covering space of a trivial surface-knot space. As a result of Wall, it is known that any two orthogonal bases of every…
Free ribbon lemma for surface-link
Akio Kawauchi
A free surface-link is a surface-link whose fundamental group is a free group not necessarily meridian-based. Free ribbon lemma says that every free sphere-link in the 4-sphere is…
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…
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…