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Yuya Kato

Publications and source records attributed to Yuya Kato.

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Nonsmoothable actions of Z2 * Z2 on spin four-manifolds

We construct some nonsmoothable actions of Z2 * Z2 on spin four-manifolds by using an equivariant version of Furuta' s 10/8inequality. The examples satisfy following property: any proper subgroup of Z2 * Z2 is smoothable for some smooth structure.

math.DG