Let [italic capital]A and [italic capital]B be elements of [italic capitals]PSL (2, [bold]R) and let [italic capital]G be the group they generate. Assume that [italic capital]G is non-elementary. The discreteness problem is the problem of finding an algorithm to determine whethe…
Introduction Johannson's characteristic submanifold theory Relative compression bodies and cores Homotopy types Pared 3-manifolds Small 3-manifolds Geometrically finite hyperbolic 3-manifolds Statements of main theorems The case when there is a compressible free side The case wh…
Preliminaries Statements of theorems Characteristic compression bodies The Masur domain and Ahlfors' conjecture Branched covers and geometric limit Non-realizable measured laminations Strong convergence of function groups Proof of the main theorem Bibliography Index.
In this memoir we have introduced and studied the scattering operator and the Eisenstein series and we have formulated and proved the inner product formula and the "Maass-Selberg" relations for Kleinian groups.
