Bauer-Furuta invariants under Z_2-actions
Geometric Topology
2013-11-08 v2
Abstract
S.Bauer and M.Furuta defined a stable cohomotopy refinement of the Seiberg-Witten invariants. In this paper, we prove a vanishing theorem of Bauer-Furuta invariants for 4-manifolds with smooth Z/2-actions. As an application, we give a constraint on smooth Z/2-actions on homotopy K3#K3, and construct a nonsmoothable locally linear Z/2-action on K3#K3. We also construct a nonsmoothable locally linear Z/2-action on .
Cite
@article{arxiv.0705.1595,
title = {Bauer-Furuta invariants under Z_2-actions},
author = {Nobuhiro Nakamura},
journal= {arXiv preprint arXiv:0705.1595},
year = {2013}
}