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On deformations of hyperbolic 3–manifolds with geodesic boundary

On deformations of hyperbolic 3–manifolds with geodesic boundary

Let M be a complete finite-volume hyperbolic 3-manifold with compact non-empty geodesic boundary and k toric cusps, and let T be a geometric partially truncated triangulation of M. We show that the variety of solutions of consistency equations for T is a smooth manifold or real dimension 2k near the …