Complex projective structures with Schottky holonomy
Geometric Topology
2012-02-22 v2 Differential Geometry
Abstract
A Schottky group in PSL(2, C) induces an open hyperbolic handlebody and its ideal boundary is a closed orientable surface S whose genus is equal to the rank of the Schottky group. This boundary surface is equipped with a (complex) projective structure and its holonomy representation is an epimorphism from pi_1(S) to the Schottky group. We will show that an arbitrary projective structure with the same holonomy representation is obtained by (2 pi-)grafting the basic structure described above.
Cite
@article{arxiv.0906.0413,
title = {Complex projective structures with Schottky holonomy},
author = {Shinpei Baba},
journal= {arXiv preprint arXiv:0906.0413},
year = {2012}
}
Comments
52 pages, 14 figures