Projective structures with degenerate holonomy and the Bers density conjecture

By K. Bromberg. 2002

61 citations recorded by the source corpus.

We prove the Bers density conjecture for singly degenerate Kleinian surface groups without parabolics.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9c44cc8a943c3c806a45fc42bd16643795278fab

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In Geometry and Topology

1. David Dumas
2. Darryl McCullough
3. Ken'ichi Ohshika
4. Richard Canary
5. Jean-Marc Schlenker

In Mathematical Physics

1. David Dumas
2. Darryl McCullough
3. Ken'ichi Ohshika
4. Richard Canary

Citations in the corpus

• Homotopy equivalences of 3-manifolds and deformation theory of Kleinian groups (2004, background): “2Bromberg [25] and Brock-Bromberg [22] proved that if M has incompressible boundary, ρ ∈ AH(π1(M)), and ρ(π1(M)) contains no maximal cyclic parabolic subgroups, then ρ lies in the closure of GF(π1(M)).”
• Complex Projective Structures (2009, methodology): “[13][11, §5]), and it will appear again in our description of quasi-Fuchsian projective structures (§5.”
• Realising end invariants by limits of minimally parabolic, geometrically finite groups (2005, methodology): “This result is then generalised to freely indecomposable Kleinian groups in Brock-Bromberg [11].”