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Let
be a compact, oriented, irreducible, and boundary incompressible
–manifold.
Assume that its fundamental group is without rank two abelian subgroups and
. We will show that
every homomorphism
which is not “boundary elementary” is induced by a possibly branched complex
projective structure on the boundary of a hyperbolic manifold homeomorphic to
.
Keywords
projective structures on Riemann surfaces, hyperbolic
3–manifolds