Math @ Duke
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Publications [#375269] of Adam S. Levine
Papers Published
- Levine, AS, A note on rationally slice knots,
New York Journal of Mathematics, vol. 29
(January, 2023),
pp. 1363-1372
(last updated on 2025/07/03)
Abstract: Kawauchi proved that every strongly negative amphichiral knot (Formula Presented) bounds a smoothly embedded disk in some rational homology ball VK, whose construction a priori depends on K. We show that VK is inde-pendent 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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