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Quasi-Fuchsian manifolds with particles

Quasi-Fuchsian manifolds with particles

We consider 3-dimensional hyperbolic cone-manifolds which are "convex co-compact" in a natural sense, with cone singularities along infinite lines. Such singularities are sometimes used by physicists as models for massive spinless point particles. We prove an infinitesimal rigidity statement when the angles around the singular lines are less than $\pi$: …