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math.GT2023
Ribbonness on classical link
Akio Kawauchi
It is shown that if a link in 3-space bounds a proper oriented surface (without closed component) in the upper half 4-space, then the link bounds a proper oriented ribbon surface i…
math.GR2023
Kervaire conjecture on weight of group via fundamental group of ribbon sphere-link
Akio Kawauchi
Kervaire conjecture that the weight of the free product of every non-trivial group and the infinite cyclic group is not one is confirmed by confirming Conjecture Z of a knot exteri…
math.GT2023
Whitehead aspherical conjecture via ribbon sphere-link
Akio Kawauchi
Whitehead aspherical conjecture says that every connected subcomplex of every aspherical 2-complex is aspherical. By an argument on ribbon sphere-links, it is confirmed that the co…