Divergence of projective structures and lengths of measured laminations
Harumi Tanigawa · Duke Mathematical Journal · 1999
Abstract. Given a complex structure, we investigate diverging sequences of projective structures on the fixed complex structure in terms of Thurston’s parametrization. In particular, we will give a geometric proof to the theorem by Kapovich stating that as the projective structures on a fixed complex structure diverge so do their monodromies. In course of arguments, we extend the concept of realization of laminations for PSL(2,C)-representations of surface groups. 1.