Divergence of projective structures and lengths of measured laminations
classification
🧮 math.CV
keywords
complexprojectivestructurestructuresfixedlaminationsargumentsconcept
read the original 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$(2,{\mathbf C})$-representations of surface groups.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.