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Projective structures, grafting and measured laminations

Projective structures, grafting and measured laminations

We show that grafting any fixed hyperbolic surface defines a homeomorphism from the space of measured laminations to Teichmüller space, complementing a result of Scannell-Wolf on grafting by a fixed lamination.This result is used to study the relationship between the complex-analytic and geometric coordinate systems for the space of complex …