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arXiv · 0705.1595

Bauer-Furuta invariants under Z_2-actions

Nobuhiro Nakamura
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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 $K3$.

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Nobuhiro Nakamura. 2008-04-28. Bauer-Furuta invariants under Z_2-actions. https://arxiv.org/abs/0705.1595

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