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 10/8-inequality. The examples satisfy following property: any proper subgroup of Z2×Z2 is smoothable for some smooth structure.

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Bibliographic Details
Published in:Topology and its applications 2022-02, Vol.307, Article 107868
Main Author: Kato, Yuya
Format: Article
Language:English
Subjects:
4-dimensional topology
Seiberg-Witten theory
Smooth structure
Transformation group
Online Access:Get full text
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Description
Summary:We construct some nonsmoothable actions of Z2×Z2 on spin four-manifolds by using an equivariant version of Furuta's 10/8-inequality. The examples satisfy following property: any proper subgroup of Z2×Z2 is smoothable for some smooth structure.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2021.107868