Equivariant Gluing Theory on Regular Instanton Moduli Spaces

Shuaige Qiao

doi:10.1007/s11464-025-0007-2

Frontiers of Mathematics ›› : 1 -10. DOI: 10.1007/s11464-025-0007-2

Research Article

Equivariant Gluing Theory on Regular Instanton Moduli Spaces

Shuaige Qiao ¹^,^a

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Abstract

We follow the idea of gluing theory in instanton moduli spaces and discuss the case when there is a finite group Γ acting on the 4-manifolds X₁, X₂ with x₁, x₂ as isolated fixed points, how to glue two Γ-invariant ASD connections over X₁, X₂ together to get a Γ-invariant ASD connection on the connected sum X₁ # X₂.