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We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities of angles less than $2\pi$ along a time-like graph $\Gamma$.
Simultaneous uniformization
Lipman Bers · 1960
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R.D. Canary, D.B.A. Epstein, and P. Green · 1986
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William M. Goldman · 1988
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Quantization of point particles in ( 2 + 1 ) (2+1) -dimensional gravity and spacetime discreteness
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Francesco Bonsante and Jean-Marc Schlenker · 2009
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Collisions of particles in locally AdS spacetimes I. Local description and global examples
Thierry Barbot, Francesco Bonsante, and Jean-Marc Schlenker · 2011
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Infinitesimal rigidity of cone-manifolds and the Stoker problem for hyperbolic and Euclidean polyhedra
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The deformation theory of hyperbolic cone 3-manifolds with cone-angles less than 2 π 2\pi
Hartmut Weiss
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Rafe Mazzeo and Grégoire Montcouquiol · 2011
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