Math @ Duke

Publications [#343476] of Adam S. Levine
Papers Published
 Levine, AS; Lidman, T, SIMPLY CONNECTED, SPINELESS 4MANIFOLDS,
Forum of Mathematics, Sigma
(January, 2019) [doi]
(last updated on 2021/12/03)
Abstract: We construct infinitely many compact, smooth 4manifolds 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 codimension2 spines in simply connected manifolds. The obstruction comes from the Heegaard Floer d invariants.


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