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  1. (, New York journal of mathematics)
    Kawauchi proved that every strongly negative amphichiral knot K in S^3 bounds a smoothly embedded disk in some rational homology ball V_K, whose construction a priori depends on K. We show that V_K is independent of K up to diffeomorphism. Thus, a single 4-manifold, along with connected sums thereof, accounts for all known examples of knots that are rationally slice but not slice. 
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