Volume 1 (1998)

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ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
Complex projective structures on Kleinian groups

Albert Marden

Geometry & Topology Monographs 1 (1998) 335–340
DOI: 10.2140/gtm.1998.1.335

arXiv: math.GT/9810196

Abstract
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Let M3 be a compact, oriented, irreducible, and boundary incompressible 3–manifold. Assume that its fundamental group is without rank two abelian subgroups and M3. We will show that every homomorphism θ: π1(M3) 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 M3.

Keywords
projective structures on Riemann surfaces, hyperbolic 3–manifolds
Mathematical Subject Classification
Primary: 30F50
Secondary: 30F45, 30F60, 30F99, 30C99
References
Publication
Received: 1 June 1998
Published: 27 October 1998
Authors
Albert Marden
School of Mathematics
University of Minnesota
Minneapolis MN 55455
USA