Dehn filling of cusped hyperbolic 3-manifolds with geodesic boundary

Roberto Frigerio, Bruno Martelli, Carlo Petronio

We define for each g>=2 and k>=0 a set M_{g,k} of orientable hyperbolic 3-manifolds with $k$ toric cusps and a connected totally geodesic boundary of genus g. Manifolds in M_{g,k}…