1 citations · 4 across the 10 of their papers we have counts for
4 papers · 2 filters
Splitting criteria for a definite 4-manifold with infinite cyclic fundamental group
Akio Kawauchi
Two criteria for a closed connected definite 4-manifold with infinite cyclic fundamental group to be TOP-split are given. One criterion extends a sufficient condition made in a pre…
Triviality of a surface-link with meridian-based free fundamental group
Akio Kawauchi
It is proved that every disconnected surface-link with meridian-based free fundamental group is a trivial (i.e., an unknotted-unlinked) surface-link. This result is a surface-link…
Ribbonness of a stable-ribbon surface-link, I. A stably trivial surface-link
Akio Kawauchi
There is a question asking whether a handle-irreducible summand of every stable-ribbon surface-link is a unique ribbon surface-link. This question for the case of a trivial surface…
Biquandle cohomology and state-sum invariants of links and surface-links
Seiichi Kamada, Akio Kawauchi, Jieon Kim +1
In this paper, we discuss the (co)homology theory of biquandles, derived biquandle cocycle invariants for oriented surface-links using broken surface diagrams and how to compute th…