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<p>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 <i>X</i><sub>1</sub>, <i>X</i><sub>2</sub> with <i>x</i><sub>1</sub>, <i>x</i><sub>2</sub> as isolated fixed points, how to glue two Γ-invariant ASD connections over <i>X</i><sub>1</sub>, <i>X</i><sub>2</sub> together to get a Γ-invariant ASD connection on the connected sum <i>X</i><sub>1</sub> # <i>X</i><sub>2</sub>.</p>

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Equivariant Gluing Theory on Regular Instanton Moduli Spaces

  • 期刊论文

  • 发表日期：

    2025年6月5日

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  • Shuaige Qiao

摘要

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.