Polynomial quadratic differentials on the complex plane and light-like polygons in the Einstein Universe
Differential Geometry
2019-06-19 v3 Complex Variables
Geometric Topology
Abstract
We construct geometrically a homeomorphism between the moduli space of polynomial quadratic differentials on the complex plane and light-like polygons in the 2-dimensional Einstein Universe. As an application, we find a class of minimal Lagrangian maps between ideal polygons in the hyperbolic plane.
Keywords
Cite
@article{arxiv.1712.03767,
title = {Polynomial quadratic differentials on the complex plane and light-like polygons in the Einstein Universe},
author = {Andrea Tamburelli},
journal= {arXiv preprint arXiv:1712.03767},
year = {2019}
}
Comments
30 pages. Final version