Some hyperbolic three-manifolds that bound geometrically

  title={Some hyperbolic three-manifolds that bound geometrically},
  author={Alexander Kolpakov and Bruno Martelli and Steven T. Tschantz},
A closed connected hyperbolic n-manifold bounds geometrically if it is isometric to the geodesic boundary of a compact hyperbolic (n + 1)-manifold. A. Reid and D. Long have shown by arithmetic methods the existence of infinitely many manifolds that bound geometrically in every dimension. We construct here infinitely many explicit examples in dimension n = 3 using right-angled dodecahedra and 120-cells and a simple colouring technique introduced by M. Davis and T. Januszkiewicz. Namely, for… Expand

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