Divergence of projective structures and lengths of measured laminations
Harumi Tanigawa
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.
Create a lesson
Related papers
Square Functions and the Complete Crouzeix Conjecture in Dimension Three
Per Åhag, Rafał Czyż, Antti Perälä et al.
On the Levi map of nondegenerate CR submanifolds
Florian Bertrand, Francine Meylan
Smale's Mean Value Conjecture and its Dual Conjecture for Complex Polynomials
Aneesh Jatar, Tuen Wai Ng
Transcendental Numerical Dimension and Rational Quotients in Kähler Geometry
Songchen Liu
Compactness and the essential norm on Bergman spaces of the Siegel upper half-space
Peiyao Li, Congwen Liu, Jiajia Si
Existence of a "maximal" domain of meromorphy for an analytic function outside a polar compact set
Aleksandr Komlov