Construction and Recognition of Hyperbolic 3-Manifolds with Geodesic Boundary

  title={Construction and Recognition of Hyperbolic 3-Manifolds with Geodesic Boundary},
  author={Frigerio and Petronio},
We extend to the context of hyperbolic 3-manifolds with geodesic boundary Thurston’s approach to hyperbolization by means of geometric triangulations. In particular, we introduce moduli for (partially) truncated hyperbolic tetrahedra, and we discuss consistency and completeness equations. Moreover, building on previous work of Ushijima, we extend Weeks’ tilt formula algorithm, which computes the Epstein-Penner canonical triangulation, to an algorithm that computes the Kojima triangulation. The… CONTINUE READING
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