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Holonomy Reconstruction and Character Varieties of Lorentzian Curved Tetrahedra
differential-geometrygeneral-relativity-and-quantum-cosmologyhigh-energy-physics-theorymathematical-physics
We give a recognition and reconstruction theorem for finite strictly convex tetrahedra in ${\rm dS}^3$ and ${\rm AdS}^3$ with spacelike, timelike, or null faces. The input consists of four nontrivial based ${\rm SO}^+(1,2)$ holonomies satisfying the closure relation. We construct their Gram data and
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