Fibrations by pencils of quadrics and maximal representations
- Colin Davalo (University of Heidelberg)
Abstract
The hyperbolic 3-manifold associated to a Fuchsian representation of a surface group admits a fibration over the surface with geodesic fibers that extends to a fibration of the conformal boundary. This also holds for almost Fuchsian representations, but not in general for quasi-Fuchsian representations.
We will discuss an analog of this picture for representations of surface groups into