Kentaro Ito

Exotic projective structures and quasi-fuchsian space

Abstract:

Let $P(S)$ denote the space of projective structures on a closed surface $S$. It is known that the subset $Q(S) \subset P(S)$ of projective structures with quasi-Fuchsian holonomy has infinitely many connected components; one is called standerd, the others are exotic. Here, we investigate the configuration of these components. In our previous paper (Duke Math. J. {\bf 105} (2000), 185--209), we showed that the closure of any exotic component intersects the closure of the standard component. We develop our argument there and show that any two components have intersecting closures.

Return to poster page