Minimal surfaces and particles in 3-manifolds

@article{Krasnov2007MinimalSA,
  title={Minimal surfaces and particles in 3-manifolds},
  author={Kirill Krasnov and Jean-Marc Schlenker},
  journal={Geometriae Dedicata},
  year={2007},
  volume={126},
  pages={187-254}
}
We consider 3-dimensional anti-de Sitter manifolds with conical singularities along time-like lines, which is what in the physics literature is known as manifolds with particles. We show that the space of such cone-manifolds is parametrized by the cotangent bundle of Teichmüller space, and that moreover such cone-manifolds have a canonical foliation by space-like surfaces. We extend these results to de Sitter and Minkowski cone-manifolds, as well as to some related “quasifuchsian” hyperbolic… 
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