SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS

DOI10.1017/FMS.2019.11zbMATH Open1421.57034arXiv1803.01765OpenAlexW2963176892MaRDI QIDQ5376712

Author name not available (Why is that?)

Publication date: 20 May 2019

Published in: (Search for Journal in Brave)

Abstract: We construct infinitely many smooth 4-manifolds which are homotopy equivalent to

S^{2}

but do not admit a spine, i.e., a piecewise-linear embedding of

S^{2}

which 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 work available at URL: https://arxiv.org/abs/1803.01765

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