Projective structures with degenerate holonomy and the Bers density conjecture

TL;DR

This paper proves Bers' density conjecture for a specific class of Kleinian groups, advancing understanding of their geometric structures and the distribution of such groups.

Contribution

It establishes the conjecture for singly degenerate Kleinian surface groups without parabolics, a significant case previously unresolved.

Findings

Bers' density conjecture is proven for the specified class.

The result clarifies the structure of singly degenerate Kleinian groups.

Advances the theory of hyperbolic 3-manifolds and Kleinian groups.

Abstract

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