本刊英文版Vol．26（2010），No．1论文摘要

<正>The bubble tree compactified instanton moduli space M_κ(X) is introduced.Its singularity set Sing_κ(X) is described.By the standard gluing theory,one can show that M_κ(X)-Sing_κ(X) is a topological orbifold.In this paper,we give an argument to construct smooth structures on it.

Virtual Manifolds and Localization Bohui CHEN Gang TIAN Abstract In this paper, we explore the virtual technique that is very useful in studying the moduli problem from a differential geometric point of view. We introduce a class of new objects ＂virtual manifolds/orbifolds＂, on which we develop the integration theory. In particular, the virtual localization formula is obtained.