SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS
Journal Article (Journal Article)
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.
- Levine, AS; Lidman, T
- January 1, 2019
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