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- W2123164779 abstract "We prove that if S is a closed compact surface of negative Euler characteristic, and if R is a quasi-Fuchsian representation in PSL(2,C), then the deformation space M(k,R) of branched projective structures on S with total branching order k and holonomy R is connected, as soon as k>0. Equivalently, two branched projective structures with the same quasi-Fuchsian holonomy and the same number of branch points are related by a movement of branch points. In particular grafting annuli are obtained by moving branch points. In the appendix we give an explicit atlas for the space M(k,R). It is shown to be a smooth complex manifold modeled on Hurwitz spaces." @default.
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- W2123164779 date "2014-01-29" @default.
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- W2123164779 title "Branched projective structures with Fuchsian holonomy" @default.
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- W2123164779 doi "https://doi.org/10.2140/gt.2014.18.379" @default.
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