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arXiv · 1701.03524

Bubbling complex projective structures with quasi-Fuchsian holonomy

Lorenzo Ruffoni
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Abstract

For a given quasi-Fuchsian representation $ρ:π_1(S)\to$ PSL$_2\mathbb{C}$ of the fundamental group of a closed surface $S$ of genus $g\geq 2$, we prove that a generic branched complex projective structure on $S$ with holonomy $ρ$ and two branch points is obtained by bubbling some unbranched structure on $S$ with the same holonomy.

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Lorenzo Ruffoni. 2019-11-13. Bubbling complex projective structures with quasi-Fuchsian holonomy. https://doi.org/10.1142/s1793525320500326

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