Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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L. Ruffoni

Bubbling complex projective structures with quasi-Fuchsian holonomy

created by ruffoni on 21 Dec 2019


Published Paper

Inserted: 21 dec 2019
Last Updated: 21 dec 2019

Journal: Journal of Topology and Analysis
Year: 2019
Doi: 10.1142/S1793525320500326

ArXiv: 1701.03524 PDF


For a given quasi-Fuchsian representation $\rho:\pi_1(S)\to$ 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 $\rho$ and two branch points is obtained by bubbling some unbranched structure on $S$ with the same holonomy.

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