Exotic projective structures and quasifuchsian spaces II

Abstract

Let $P(S)$ be the space of projective structures on a closed surface $S$ of genus $g>1$ and let $Q(S)$ be the subset of $P(S)$ of projective structures with quasifuchsian holonomy. It is known that $Q(S)$ consists of infinitely many connected components. In this paper, we will show that the closure of any exotic component of $Q(S)$ is not a topological manifold with boundary and that any two components of $Q(S)$ have intersecting closures.

22 pages, 9 figures

References in corpus (3)

• Exotic projective structures and quasifuchsian spaces II
• On continuous extension of grafting maps
• Some new behaviour in the deformation theory of Kleinian groups

Cited by in corpus (6)

• Exotic projective structures and quasifuchsian spaces II
• The oriented graph of multi-graftings in the Fuchsian case
• 2 π-grafting and complex projective structures, I
• On continuous extension of grafting maps
• 2π-grafting and complex projective structures with generic holonomy
• Some Graftings of Complex Projective Structures with Schottky Holonomy