Abstract. Given a cusped hyperbolic 3-manifold with finite volume, we define two types of complex parameters which capture geometric information about the preimages of geodesic arcs traveling between ...

Anti-de Sitter (AdS) geometry and hyperbolic manifolds form an intricate and influential domain within modern geometry, with profound implications in both theoretical physics and pure mathematics. The ...

Annals of Mathematics, Second Series, Vol. 170, No. 1 (Jul., 2009), pp. 45-65 (21 pages) For a smooth manifold M we define the Teichmüller space T(M) of all ...