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arXiv · 0809.0119

Nonsmoothable group actions on spin 4-manifolds

Kazuhiko Kiyono
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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.

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BibTeXRIS

Kazuhiko Kiyono. 2008-11-07. Nonsmoothable group actions on spin 4-manifolds. https://doi.org/10.2140/agt.2011.11.1345

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