Nonsmoothable actions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> on spin four-manifolds
نویسندگان
چکیده
We construct some nonsmoothable actions of Z2×Z2 on spin four-manifolds by using an equivariant version Furuta's 10/8-inequality. The examples satisfy following property: any proper subgroup is smoothable for smooth structure.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2022
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2021.107868