Meromorphic cubic differentials and convex projective structures
Differential Geometry
2017-01-09 v2
Abstract
Extending the Labourie-Loftin correspondence, we establish, on any punctured oriented surface of finite type, a one-to-one correspondence between convex projective structures with specific types of ends and punctured Riemann surface structures endowed with meromorphic cubic differentials whose poles are at the punctures. This generalizes previous results of Loftin, Benoist-Hulin and Dumas-Wolf.
Cite
@article{arxiv.1503.02608,
title = {Meromorphic cubic differentials and convex projective structures},
author = {Xin Nie},
journal= {arXiv preprint arXiv:1503.02608},
year = {2017}
}
Comments
67 pages, 13 figures. 2nd version with some errors corrected, bibliography updated, a more detailed introduction part and an improvement on the estimates in the appendix