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arxiv: 1307.2310 · v4 · pith:PQPNNN3Qnew · submitted 2013-07-09 · 🧮 math.GT

2π-grafting and complex projective structures with generic holonomy

classification 🧮 math.GT
keywords genericholonomyprojectiverepresentationstructurescharacterclosedcomplex
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Let S be an oriented closed surface of genus at least two. We show that, given a generic representation in the PSL(2,C)-character variety of S, (2\pi-)graftings produce all projective structures on S with the holonomy representation.

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