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.

Full Text

Duke Authors

Cited Authors

  • Levine, AS; Lidman, T

Published Date

  • January 1, 2019

Published In

Electronic International Standard Serial Number (EISSN)

  • 2050-5094

Digital Object Identifier (DOI)

  • 10.1017/fms.2019.11

Citation Source

  • Scopus