  We obtain infinitely many (non-conjugate) representations of 3-manifold
fundamental groups into a lattice in the holomorphic isometry group of complex
hyperbolic space. The lattice is an orbifold fundamental group of a branched
covering of the projective plane along an arrangement of hyperplanes
constructed by Hirzebruch. The 3-manifolds are related to a Lefschetz fibration
of the complex hyperbolic orbifold.
