On the Renormalized Volume of Hyperbolic 3-Manifolds

@article{Krasnov2008OnTR,
  title={On the Renormalized Volume of Hyperbolic 3-Manifolds},
  author={Kirill Krasnov and Jean-Marc Schlenker},
  journal={Communications in Mathematical Physics},
  year={2008},
  volume={279},
  pages={637-668}
}
The renormalized volume of hyperbolic manifolds is a quantity motivated by the AdS/CFT correspondence of string theory and computed via a certain regularization procedure. The main aim of the present paper is to elucidate its geometrical meaning. We use another regularization procedure based on surfaces equidistant to a given convex surface ∂N. The renormalized volume computed via this procedure is equal to what we call the W-volume of the convex region N given by the usual volume of N minus… 
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