Ribbonness on classical link

Published 31 Jul 2023 in math.GT | (2307.16483v2)

Abstract: 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 in the upper half 4-space which is a renewal embedding of the original surface. In particular, every slice knot is a ribbon knot, answering an old question by R. H. Fox affirmatively.

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Authors (1)

Akio Kawauchi

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