  This article introduces a universal moduli space for the set whose archetypal
element is a pair that consists of a metric and second fundamental form from a
compact, oriented, positive genus minimal surface in some hyperbolic
3-manifold. This moduli space is a smooth, finite dimensional manifold with
canonical maps to both the cotangent bundle of the Teichmueller space and the
space of SO(3,C) representations for the given genus surface. These two maps
embed the universal moduli space as a Lagrangian submanifold in the product of
the latter two spaces.
