Equivariant gluing theory on regular instanton moduli spaces

Abstract

We follow the idea of gluing theory in instanton moduli spaces and discuss the case when there is a finite group $\Gamma$ acting on the 4-manifolds $X_1, X_2$ with $x_1, x_2$ as isolated fixed points, how to glue two $\Gamma$-invariant ASD connections over $X_1, X_2$ together to get a $\Gamma$-invariant ASD connection on the connected sum $X_1\# X_2$.