Nonsmoothable group actions on spin 4-manifolds

Details Nonsmoothable group actions on spin 4-manifolds Nonsmoothable group actions on spin 4-manifolds

2008-08-31

arxiv.org/abs/0809.0119v3

Mathematics

Geometric Topology

11pages, several typos corrected, several sentences added to Introduction

Scientific paper

We show that every closed, simply connected, spin topological 4-manifold
except $S^4$ and $S^2\times S^2$ admits a homologically trivial, pseudofree,
locally linear action of $\mathbb{Z}_p$ for any sufficiently large prime number
$p$ which is nonsmoothable for any possible smooth structure.

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