Publications [#328060] of Adam S. Levine

Papers Published

1. Levine, AS, NONSURJECTIVE SATELLITE OPERATORS and PIECEWISE-LINEAR CONCORDANCE, Forum of Mathematics Sigma, vol. 4 (January, 2016), Cambridge University Press (CUP) [doi]
   (last updated on 2026/01/14)

   Abstract:
   We exhibit a knot P in the solid torus, representing a generator of first homology, such that for any knot K in the 3-sphere, the satellite knot with pattern P and companion K is not smoothly slice in any homology 4-ball. As a consequence, we obtain a knot in a homology 3-sphere that does not bound a piecewise-linear disk in any homology 4-ball.