Bubbling complex projective structures with quasi-Fuchsian holonomy

For a given quasi-Fuchsian representation [Formula: see text] of the fundamental group of a closed surface [Formula: see text] of genus [Formula: see text], we prove that a generic branched complex projective structure on [Formula: see text] with holonomy [Formula: see text] and two branch points can be obtained from some unbranched structure on [Formula: see text] with the same holonomy by bubbling, i.e. a suitable connected sum with a copy of [Formula: see text].