Abstract
In this paper, we show that if 0-surgery along a ribbon knot [Formula: see text] and 0-surgery along another knot [Formula: see text] give diffeomorphic 3-manifolds then [Formula: see text] has to be a slice knot. Moreover, they have diffeomorphic slice disk exteriors [Formula: see text] for some ribbon disk [Formula: see text] and slice disk [Formula: see text], where [Formula: see text] and [Formula: see text] are tubular neighborhoods of [Formula: see text] and [Formula: see text], respectively.
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