Polynomial quadratic differentials on the complex plane and light-like polygons in the Einstein Universe
arXiv:1712.03767
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.
arXiv comment30 pages. Final version