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Replace each pair of pants by a triply punctured sphere and glue, or `plumb', adjacent pants by gluing punctured disk neighbourhoods of the punctures. The gluing across the $i^{th}$ pants curve is defined by a complex parameter $\\tau_i \\in \\C$. The associated holonomy representation $\\rho: \\pi_1(\\Sigma) \\to PSL(2,\\C)$ gives a projective structure on $\\Sigma$ which depends holomorphically on the $\\tau_i$. 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