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math.GT2019
Smooth homotopy 4-sphere
Akio Kawauchi
Every smooth homotopy 4-sphere is diffeomorphic to the 4-sphere.
math.GT2019
Unique diagram of a spatial arc and the knotting probability
Akio Kawauchi
It is shown that the projection image of an oriented spatial arc to any oriented plane is approximated by a unique arc diagram (up to isomorphic arc diagrams) determined from the s…
math.GT2019
Ribbonness of a stable-ribbon surface-link, II. General case
Akio Kawauchi
It is shown that any handle-irreducible summand of every stable-ribbon surface-link is a unique ribbon surface-link up to equivalences, so that every stable-ribbon surface-link is…