For a given quasi-Fuchsian representation ρ : π1(S) →PSL2ℂ of the fundamental group of a closed surface S of genus g ≥ 2, we prove that a generic branched complex projective structure on S with holonomy ρ and two branch points can be obtained from some unbranched structure on S with the same holonomy by bubbling, i.e. a suitable connected sum with a copy of ℂℙ1.

中文翻译：

---

用准 Fuchsian holonomy 冒泡复杂的射影结构

对于给定的准 Fuchsian 表示ρ ： π1(小号) →PSL2ℂ闭曲面的基本群小号属G ≥ 2，我们证明了一个通用的分支复射影结构小号完整的ρ并且可以从上的一些非分支结构中获得两个分支点小号通过冒泡具有相同的完整度，即适当的连接总和与副本ℂℙ1.