Bauer-Furuta invariants under Z_2-actions

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 $K3$.

21 pages, typos corrected, several descriptions changed

References in corpus (2)

• Seiberg-Witten Theory and Z/2^p actions on spin 4-manifolds
• Pseudofree Z/3-actions on K3 surfaces

Cited by in corpus (2)

• Finite group actions and G-monopole classes on smooth 4-manifolds
• Nonsmoothable involutions on spin 4-manifolds