Complex projective structures on Kleinian groups
Abstract
Description
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.
6 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper16.abs.html
6 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper16.abs.html