Publications [#343476] of Adam S. Levine

Papers Published

1. Levine, AS; Lidman, T, SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS, Forum of Mathematics Sigma, vol. 7 (January, 2019)
   (last updated on 2025/07/02)

   Abstract:
   We construct infinitely many compact, smooth 4-manifolds which are homotopy equivalent to S² but do not admit a spine (that is, a piecewise linear embedding of S² that realizes the homotopy equivalence). This is the remaining case in the existence problem for codimension-2 spines in simply connected manifolds. The obstruction comes from the Heegaard Floer d invariants.