Nonsmoothable actions of Z2 * Z2 on spin four-manifolds
Differential Geometry
2017-08-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1708.08030,
title = {Nonsmoothable actions of Z2 * Z2 on spin four-manifolds},
author = {Yuya Kato},
journal= {arXiv preprint arXiv:1708.08030},
year = {2017}
}