Geodesic
Nonsmoothable group actions on spin 4–manifolds
Kiyono, Kazuhiko1
1Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan
Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1345-1359
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We show that every closed, simply connected, spin topological 4–manifold except S4 and S2 × S2 admits a homologically trivial, pseudofree, locally linear action of ℤp for any sufficiently large prime number p which is nonsmoothable for any possible smooth structure.

DOI : 10.2140/agt.2011.11.1345
Keywords: nonsmoothable group action, spin $4$–manifold, $G$–index of Dirac operator, $10/8$–theorem

Kiyono, Kazuhiko  1

1 Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan 
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Kiyono, Kazuhiko. Nonsmoothable group actions on spin 4–manifolds. Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1345-1359. doi: 10.2140/agt.2011.11.1345

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