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.

Saved in:
Bibliographic Details
Published inTopology and its applications Vol. 307
Main Author Kato, Yuya
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.02.2022
Subjects
4-dimensional topology
Seiberg-Witten theory
Smooth structure
Transformation group
4-dimensional topology
Transformation group
Seiberg-Witten theory
Smooth structure
Online AccessGet full text

Cover

More Information
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