Abstract
Let S be any closed hyperbolic surface and let λ be a maximal geodesic lamination on S. The amount of bending of an abstract pleated surface (homeomorphic to S) with the pleating locus λ is completely determined by an (ℝ/2πℤ)-valued finitely additive transverse cocycle β to the geodesic lamination λ. We give a sufficient condition on β such that the corresponding pleating map f ~ β : ℍ 2 → ℍ 3 induces a quasi-Fuchsian representation of the surface group π1(S). Our condition is genus independent.
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