Geometry & Topology Monographs 1 (1998),
The Epstein Birthday Schrift,
paper no. 16, pages 335-340.
Complex projective structures on Kleinian groups
Let M^3 be a compact, oriented, irreducible, and boundary
incompressible 3-manifold. Assume that its fundamental group is
without rank two abelian subgroups and its boundary is non-empty. We
will show that every homomorphism from pi_1(M) to PSL(2,C) which is
not `boundary elementary' is induced by a possibly branched complex
projective structure on the boundary of a hyperbolic manifold
homeomorphic to M.
Projective structures on Riemann surfaces, hyperbolic 3-manifolds
AMS subject classification.
Primary: 30F50. Secondary: 30F45, 30F60, 30F99, 30C99.
Submitted: 1 June 1998.
Published: 27 October 1998.
Notes on file formats
School of Mathematics, University of Minnesota
Minneapolis, MN 55455, USA
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