Nonsmoothable group actions on spin 4-manifolds

Abstract

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.

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

References in corpus (1)

• Permutations, isotropy and smooth cyclic group actions on definite 4-manifolds