Bauer-furuta Invariants under Z2-actions
نویسنده
چکیده
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 Z2-actions. As an application, we give a constraint on smooth Z2-actions on homotopy K3#K3, and construct a nonsmoothable locally linear Z2-action on K3#K3. We also construct a nonsmoothable locally linear Z2-action on K3.
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