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arXiv · 1712.03767

Polynomial quadratic differentials on the complex plane and light-like polygons in the Einstein Universe

Andrea Tamburelli
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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.

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Andrea Tamburelli. 2017-12-11. Polynomial quadratic differentials on the complex plane and light-like polygons in the Einstein Universe. https://arxiv.org/abs/1712.03767

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