Exotic projective structures and quasi-fuchsian spaces II

Abstract

Let P(S) denote the space of projective structures on a closed surface S and Q(S) the subset of P(S) consisting of projective structures with quasi-fuchsian holonomy. It is known that Q(S) has infinitely many connected components. In this paper, we 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.

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